Recent questions tagged conditional-probability

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CMI2018-A-6
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, 2019 in Probability by gatecse Boss (17.5k points) | 42 views

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1 answer

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CMI2018-A-7
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, 2019 in Probability by gatecse Boss (17.5k points) | 42 views

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1 answer

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CMI2018-A-8
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 them-if 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, 2019 in Probability by gatecse Boss (17.5k points) | 38 views

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1 answer

4

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, 2019 in Probability by Na462 Loyal (7k points) | 310 views

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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, 2019 in Probability by DIYA BASU (243 points) | 169 views

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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, 2019 in Probability by great_gater (313 points) | 172 views

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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, 2019 in Probability by learner_geek Active (3.3k points) | 92 views

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2 answers

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, 2019 in Mathematical Logic by learner_geek Active (3.3k points) | 282 views

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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, 2019 in Mathematical Logic by learner_geek Active (3.3k points) | 88 views

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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, 2019 in Mathematical Logic by ghostman23111 (133 points) | 64 views

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11

NTA NET DEC 2018 Q88
A full joint distribution for the Toothache, Cavity and Catch is given in the table below : What is the probability of Cavity, given evidence of Toothache ? (a) <0.2, 0.8> (b) <0.6, 0.4> (c) <0.6, 0.8> (d) <0.4, 0.8>

asked Dec 25, 2018 in Probability by Sanjay Sharma Boss (49.3k points) | 122 views

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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 Loyal (5.2k points) | 126 views

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13

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 Boss (10.6k points) | 102 views

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Probability - Gravner-37
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 Boss (10.9k points) | 109 views

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Probability - Gravner-35
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 (10.9k points) | 52 views

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Probability - Gravner-34
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 Boss (10.9k points) | 62 views

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17

Probability - Gravner-33.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 (10.9k points) | 55 views

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Probability - Gravner-33.a
An urn contains 10 black and 10 white balls. Draw 3 a) without replacement

asked Sep 23, 2018 in Probability by Pooja Khatri Boss (10.9k points) | 61 views

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1 answer

19

Probability - Gravner-32.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 Boss (10.9k points) | 68 views

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20

Probability - Gravner-32.a
Toss a coin $10$ times. a) that exactly 7 Heads ar tossed.

asked Sep 23, 2018 in Probability by Pooja Khatri Boss (10.9k points) | 48 views

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2 answers

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 (513 points) | 61 views

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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) | 189 views

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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 Veteran (119k points) | 281 views

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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(fibres|guilt) (c) P(fibers) (d) P(guilt and fibers present).

asked Apr 18, 2018 in Mathematical Logic by Abhi Girin (413 points) | 135 views

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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 (639 points) | 108 views

+4 votes

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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 (1.5k points) | 184 views

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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 Active (1.5k points) | 507 views

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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 Active (5.1k points) | 263 views

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29

PROBABILITY QUESTION

asked Feb 14, 2018 in Probability by cocgame (223 points) | 1.3k views

+15 votes

4 answers

30

GATE2018-44
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 Boss (17.5k points) | 4.6k views

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