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Recent questions tagged conditionalprobability
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CMI2018A6
You are given two coins $A$ and $B$ that look identical. The probability that coin $A$ turns up heads is $\frac{1}{4}$, while the probability that coin $B$ turns up heads is $\frac{3}{4}.$ You choose one of the coins at random and toss it twice. If both the outcomes are heads, what is the probability that you chose coin $B?$ $\frac{1}{16}$ $\frac{1}{2}$ $\frac{9}{16}$ $\frac{9}{10}$
asked
Sep 13
in
Probability
by
gatecse
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16
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cmi2018
conditionalprobability
cointoss
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CMI2018A7
Let $C_{n}$ be the number of strings $w$ consisting of $n$ $X's$ and $n$ $Y's$ such that no initial segment of $w$ has more $Y's$ than $X's.$ Now consider the following problem. A person stands on the edge of a swimming pool holding a bag of $n$ red and $n$ blue balls. He draws a ... $\frac{C_{n}}{\binom{2n}{n}}$ $\frac{n\cdot C_{n}}{(2n)!}$ $\frac{n\cdot C_{n}}{\binom{2n}{n}}$
asked
Sep 13
in
Probability
by
gatecse
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16.8k
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19
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cmi2018
conditionalprobability
ballsinbins
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1
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3
CMI2018A8
There are $7$ switches on a switchboard, some of which are on and some of which are off. In one move, you pick any $2$ switches and toggle each of themif the switch you pick is currently off, you turn it on, if it is on, you turn it off. Your aim is to execute a sequence of ... (off,on,off,on,off,off,on) (off,on,on,on,on,on,off) (on,off,on,on,on,on,on) (off,off,off,off,off,on,off)
asked
Sep 13
in
Probability
by
gatecse
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16.8k
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17
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cmi2018
conditionalprobability
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Conditional Probability
A multiple choice exam has 4 choices for each question. A student has studied enough so that the probability they will know the answer to a question is 0.5, the probability that they will be able to eliminate one choice is 0.25, otherwise ... the test to measure what the student knows. If the student answers a question correctly what's the probability they knew the answer?
asked
Feb 18
in
Probability
by
Na462
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6.9k
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286
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conditionalprobability
probability
0
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1
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5
Conditional probability
Oscar has lost his dog in either forest A (with a priori probability 0.4) or in forest B (with a priori probability 0.6). On any given day, if the dog is in A and Oscar spends a day searching for it in A, the conditional probability that he will ﬁnd the dog that day is 0.25. ... +(1/2)*0.15; but the answer given is=(0.5*0.4*0.25)+(0.5*0.6*0.15); what is wrong with my logic?
asked
Feb 16
in
Probability
by
DIYA BASU
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233
points)

153
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conditionalprobability
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Applied Course Mock Test 4
Q32 [Mock 4]. Naveen's coin box contains 8 fair standard coins (heads and tails) and 1 coin which has heads on both sides. He selects a coin randomly and flips it 4 times, getting all heads. If he flips this coin again, what is the probability it ... )+(1/9)*(1) Probability of choosing fair coin and P(heads)+ P(unfair)*P(heads). Please help me understand this question.
asked
Jan 22
in
Probability
by
great_gater
(
293
points)

139
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conditionalprobability
probability
discretemathematics
0
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probability
Probability density function of a random variable X is distributed uniformly between 0 and 10 The probability that X lies between 2.5 to 7.5 and the mean square value of X are respectively. please give step by step answer in a detailed manner.
asked
Jan 21
in
Probability
by
learner_geek
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3.2k
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79
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probability
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randomvariable
conditionalprobability
0
votes
2
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8
probability
In a lottery, 10 tickets are drawn at random out of 50 tickets numbered from 1 to 50. What is the expected value of the sum of numbers on the drawn tickets?
asked
Jan 20
in
Mathematical Logic
by
learner_geek
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3.2k
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250
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probability
engineeringmathematics
conditionalprobability
randomvariable
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probability
A player tosses two fair coins. He wins rs 2 if 2 heads occur and rs 1 if 1 head occurs. On the other hand, he loses rs 3 if no heads occur. if the player plays 100 times.then the amount he wins______________(RS).
asked
Jan 20
in
Mathematical Logic
by
learner_geek
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3.2k
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65
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probability
engineeringmathematics
randomvariable
conditionalprobability
0
votes
1
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10
Probability
Prabha is working in a software company. Her manager is running a dinner for those employees having atleast one son. If Prabha is invited to the dinner and everyone knows she has two children. What is the probability that they are both boys?
asked
Jan 19
in
Mathematical Logic
by
ghostman23111
(
129
points)

53
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probability
engineeringmathematics
conditionalprobability
0
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0
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11
NTA NET DEC 2018 Q88
asked
Dec 25, 2018
in
Probability
by
Sanjay Sharma
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89
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conditionalprobability
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12
Kenneth Rosen Edition 7th Exercise 7.2 Question 24 (Page No. 467)
What is the conditional probability that exactly four heads appear when a fair coin is flipped five times, given that the first flip came up heads? shouldn't the answer be 1/16? my approach probability that we get 4 head after 4 toss=(1/2)^4 probability ... B)/P(B)=$\frac{(1/2)^4*1/2}{1/2}$ answer is given ¼? where am I going wrong?
asked
Dec 1, 2018
in
Probability
by
aditi19
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113
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kennethrosen
discretemathematics
probability
conditionalprobability
0
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Doubt on conditional probability
It had been found from past experience that of the articles produced by a factory, 20% comes from Machine 1; 30% comes from Machine 2 and 50% from Machine 3. The percentages of satisfactory articles among those produced are 95 for machine 1, ... that is satisfactory? ii) Assume the article is satisfactory. What is the probability that it was produced by machine 1?
asked
Nov 30, 2018
in
Probability
by
Tuhin Dutta
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9.8k
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93
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probability
conditionalprobability
engineeringmathematics
0
votes
1
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Probability  Gravner37
A factory has three machines, M1, M2, and M3, that produce items (say, light bulbs). It is impossible to tell which machine produced a particular item, but some are defective. Here are the known numbers: machine proportion of items made prob. any made item is ... 5 0.003 You pick an item, test it, and find it is defective. What is the probability that it was made by M2?
asked
Sep 24, 2018
in
Probability
by
Pooja Khatri
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10.8k
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104
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probability
gravner
engineeringmathematics
conditionalprobability
+1
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0
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15
Probability  Gravner35
Roll a die, then select at random, without replacement, as many cards from the deck as the number shown on the die. What is the probability that you get at least one Ace?
asked
Sep 23, 2018
in
Probability
by
Pooja Khatri
Boss
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10.8k
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46
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gravner
probability
engineeringmathematics
conditionalprobability
0
votes
1
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16
Probability  Gravner34
Flip a fair coin. If you toss Heads, roll 1 die. If you toss Tails, roll 2 dice. Compute the probability that you roll exactly one 6.
asked
Sep 23, 2018
in
Probability
by
Pooja Khatri
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10.8k
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57
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gravner
probability
engineeringmathematics
conditionalprobability
0
votes
1
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17
Probability  Gravner33.b
An urn contains 10 black and 10 white balls. Draw 3 b) with replacement . what is probability that all three are white
asked
Sep 23, 2018
in
Probability
by
Pooja Khatri
Boss
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10.8k
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48
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probability
gravner
engineeringmathematics
conditionalprobability
0
votes
1
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18
Probability  Gravner33.a
An urn contains 10 black and 10 white balls. Draw 3 a) without replacement
asked
Sep 23, 2018
in
Probability
by
Pooja Khatri
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10.8k
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50
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probability
gravner
engineeringmathematics
conditionalprobability
+1
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1
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19
Probability  Gravner32.b
Toss a coin $10$ times. b) at least $7$ Heads are tossed , what is the probability that your first toss is Heads?
asked
Sep 23, 2018
in
Probability
by
Pooja Khatri
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10.8k
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54
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probability
gravner
engineeringmathematics
conditionalprobability
0
votes
0
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20
Probability  Gravner32.a
Toss a coin $10$ times. a) that exactly 7 Heads ar tossed.
asked
Sep 23, 2018
in
Probability
by
Pooja Khatri
Boss
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10.8k
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41
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probability
gravner
engineeringmathematics
conditionalprobability
0
votes
2
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21
Probability
Please explain how $P(A ∩ B) = P(A)P(B)$? If $A$ and $B$ are independent.
asked
Sep 17, 2018
in
Probability
by
Vishnathan
Junior
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505
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51
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conditionalprobability
independentevents
0
votes
0
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22
Conditional Probability (Papoulis)
Trains X and Y arrive at a station at random between 8 A.M. and 8.20 A.M. Train X stops for four minutes and train Y stops for five minutes. Assuming that the trains arrive independently of each other. (a) Determine the ... ) Assuming that the trains met, determine the probability that train X arrived before train Y. Note: please explain in detail. Thanks
asked
Aug 29, 2018
in
Probability
by
Ravi Raja
(
249
points)

162
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probability
conditionalprobability
engineeringmathematics
0
votes
2
answers
23
Bayes theorem
This is extended form of Bayes theorem Can somebody explain (or can prove), how from 1st line 2 line came?
asked
May 5, 2018
in
Probability
by
srestha
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117k
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222
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probability
conditionalprobability
engineeringmathematics
+1
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0
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24
Probability
murder takes place in an isolated village with 500 inhabitants. The police believe that red polyester fibers will have been transferred on to the murderer's clothes during the assault. Forensic experiments reveal that a probability of 0.9 can be assigned to such a transfer while the ... (a) P(guilt fibers present) (b) P(fibresguilt) (c) P(fibers) (d) P(guilt and fibers present).
asked
Apr 18, 2018
in
Mathematical Logic
by
Abhi Girin
(
379
points)

130
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probability
conditionalprobability
0
votes
0
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25
Gate 2017
$P$ & $Q$ are considering to apply for a job.The probability that $P$ applies for a job is $\dfrac{1}{4}$, the probability that $P$ applies for the job given that $Q$ applies for the job is $\dfrac{1}{2}$, and the probability that $Q$ applies for the job given that $P$ ... job given that $Q$ does not apply for the job is $\dfrac{4}{5}$ $\dfrac{5}{6}$ $\dfrac{7}{8}$ $\dfrac{11}{12}$
asked
Mar 28, 2018
in
Probability
by
Avik Chowdhury
Junior
(
633
points)

101
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conditionalprobability
+4
votes
0
answers
26
Probability
Experiment one results in the mutually exclusive and collectively exhaustive events $A, B$ and $C$. Experiment two results in the mutually exclusive and collectively exhaustive events $D$ and $E$. The joint probabilities of the events that may result from these two experiments are given below: $A$ $B$ $C$ $D$ $0.12$ ... $4, 6, 7, 10$ $2, 3, 4, 6, 9$ $3, 5, 7, 8, 10$ $1, 2, 4, 6, 9.$
asked
Mar 24, 2018
in
Probability
by
Jason
Active
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1.5k
points)

171
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engineeringmathematics
probability
conditionalprobability
0
votes
3
answers
27
Probability
If events $B$ and $C$ are dependent on event $A$ and $P(A \hspace{0.1cm}and\hspace{0.1cm} B) = 0.30$, $P(A\hspace{0.1cm} and\hspace{0.1cm} C) = 0.20$ and the dependent events $B$ and $C$ are mutually exclusive and collectively exhaustive, then $P(C/A)$ is equal to ________ ?
asked
Mar 24, 2018
in
Probability
by
Jason
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1.5k
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456
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engineeringmathematics
probability
conditionalprobability
0
votes
1
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28
Naive Bayes Algorithm
What is the step by step procedure to apply algorithms like Decision Tree, Naive Bayes, etc... on a dataset using Python?
asked
Feb 21, 2018
in
Big Data/Data Analytics
by
Balaji Jegan
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4.9k
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256
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conditionalprobability
probability
dataanalytics
machinelearning
0
votes
1
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29
PROBABILITY QUESTION
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Feb 14, 2018
in
Probability
by
cocgame
(
223
points)

1.3k
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probability
conditionalprobability
engineeringmathematics
+13
votes
5
answers
30
GATE201844
Consider Guwahati, (G) and Delhi (D) whose temperatures can be classified as high $(H)$, medium $(M)$ and low $(L)$. Let $P(H_G)$ denote the probability that Guwahati has high temperature. Similarly, $P(M_G)$ and $P(L_G)$ denotes the ... , then the probability (correct to two decimal places) that Guwahati has high temperature given that Delhi has high temperature is _____
asked
Feb 14, 2018
in
Probability
by
gatecse
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16.8k
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4.1k
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gate2018
probability
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