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Recent questions tagged conditional-probability
1
vote
1
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31
NIELIT Scientific Assistant A 2020 November: 99
A bag contains $10$ white balls and $5$ blue balls. A ball is drawn from the bag and its color is noted. This ball is put back in the bag along with $3$ more balls of the same color. A ball is drawn again from the bag at random. The probability that the first ball drawn is blue, given that the second ball drawn is blue, is: $1/3$ $3/4$ $8/9$ $4/9$
gatecse
asked
in
Probability
Dec 9, 2020
by
gatecse
294
views
nielit-sta-2020
probability
conditional-probability
3
votes
1
answer
32
TIFR CSE 2020 | Part A | Question: 11
Suppose we toss $m=3$ labelled balls into $n=3$ numbered bins. Let $A$ be the event that the first bin is empty while $B$ be the event that the second bin is empty. $P(A)$ and $P(B)$ denote their respective probabilities. Which of the following is true? $P(A)>P(B)$ $P(A) = \dfrac{1}{27}$ $P(A)>P(A\mid B)$ $P(A)<P(A\mid B)$ None of the above
Lakshman Patel RJIT
asked
in
Probability
Feb 11, 2020
by
Lakshman Patel RJIT
581
views
tifr2020
probability
conditional-probability
3
votes
2
answers
33
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 $B?$ $\frac{1}{16}$ $\frac{1}{2}$ $\frac{9}{16}$ $\frac{9}{10}$
gatecse
asked
in
Probability
Sep 13, 2019
by
gatecse
477
views
cmi2018
conditional-probability
3
votes
2
answers
34
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 ... $\frac{C_{n}}{\binom{2n}{n}}$ $\frac{n\cdot C_{n}}{(2n)!}$ $\frac{n\cdot C_{n}}{\binom{2n}{n}}$
gatecse
asked
in
Probability
Sep 13, 2019
by
gatecse
381
views
cmi2018
conditional-probability
balls-in-bins
3
votes
2
answers
35
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)
gatecse
asked
in
Probability
Sep 13, 2019
by
gatecse
714
views
cmi2018
conditional-probability
1
vote
1
answer
36
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?
Na462
asked
in
Probability
Feb 18, 2019
by
Na462
2.8k
views
conditional-probability
probability
1
vote
3
answers
37
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?
DIYA BASU
asked
in
Probability
Feb 16, 2019
by
DIYA BASU
1.2k
views
conditional-probability
2
votes
1
answer
38
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.
great_gater
asked
in
Probability
Jan 22, 2019
by
great_gater
888
views
conditional-probability
probability
discrete-mathematics
0
votes
0
answers
39
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.
learner_geek
asked
in
Probability
Jan 21, 2019
by
learner_geek
372
views
probability
engineering-mathematics
random-variable
conditional-probability
2
votes
3
answers
40
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?
learner_geek
asked
in
Mathematical Logic
Jan 20, 2019
by
learner_geek
2.4k
views
probability
engineering-mathematics
conditional-probability
random-variable
3
votes
1
answer
41
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).
learner_geek
asked
in
Mathematical Logic
Jan 20, 2019
by
learner_geek
484
views
probability
engineering-mathematics
random-variable
conditional-probability
2
votes
1
answer
42
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?
ghostman23111
asked
in
Mathematical Logic
Jan 19, 2019
by
ghostman23111
480
views
probability
engineering-mathematics
conditional-probability
3
votes
1
answer
43
GATE Overflow | Mock GATE | Test 1 | Question: 42
An urn contains $m$ WHITE and $n$ BLACK balls. A ball is drawn at random and is put back into the urn along with $k$ additional balls of the same color as that of the ball drawn. If now a ball is drawn, the probability that it is WHITE is? $(m+k)/(m+n+k)$ $(n+k)/(m+n+k)$ $m/(m+n+k)$ $m/(m+n)$
Ruturaj Mohanty
asked
in
Probability
Dec 27, 2018
by
Ruturaj Mohanty
479
views
go2019-flt
engineering-mathematics
conditional-probability
probability
7
votes
1
answer
44
TIFR CSE 2019 | Part A | Question: 14
A drawer contains $9$ pens, of which $3$ are red, $3$ are blue, and $3$ are green. The nine pens are drawn from the drawer one at at time (without replacement) such that each pen is drawn with equal probability from the remaining pens in the drawer. What is ... that two red pens are drawn in succession ? $7/12$ $1/6$ $1/12$ $1/81$ $\text{None of the above}$
Arjun
asked
in
Probability
Dec 18, 2018
by
Arjun
1.4k
views
tifr2019
engineering-mathematics
probability
conditional-probability
2
votes
0
answers
45
Kenneth Rosen Edition 7 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?
aditi19
asked
in
Probability
Dec 1, 2018
by
aditi19
378
views
kenneth-rosen
discrete-mathematics
probability
conditional-probability
1
vote
0
answers
46
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?
Tuhin Dutta
asked
in
Probability
Nov 30, 2018
by
Tuhin Dutta
361
views
probability
conditional-probability
engineering-mathematics
0
votes
1
answer
47
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?
Pooja Khatri
asked
in
Probability
Sep 24, 2018
by
Pooja Khatri
340
views
probability
gravner
engineering-mathematics
conditional-probability
2
votes
2
answers
48
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?
Pooja Khatri
asked
in
Probability
Sep 23, 2018
by
Pooja Khatri
294
views
gravner
probability
engineering-mathematics
conditional-probability
0
votes
1
answer
49
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.
Pooja Khatri
asked
in
Probability
Sep 23, 2018
by
Pooja Khatri
214
views
gravner
probability
engineering-mathematics
conditional-probability
0
votes
1
answer
50
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
Pooja Khatri
asked
in
Probability
Sep 23, 2018
by
Pooja Khatri
204
views
probability
gravner
engineering-mathematics
conditional-probability
0
votes
1
answer
51
Probability - Gravner-33.a
An urn contains 10 black and 10 white balls. Draw 3 a) without replacement
Pooja Khatri
asked
in
Probability
Sep 23, 2018
by
Pooja Khatri
212
views
probability
gravner
engineering-mathematics
conditional-probability
2
votes
1
answer
52
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?
Pooja Khatri
asked
in
Probability
Sep 23, 2018
by
Pooja Khatri
291
views
probability
gravner
engineering-mathematics
conditional-probability
0
votes
0
answers
53
Probability - Gravner-32.a
Toss a coin $10$ times. a) that exactly 7 Heads ar tossed.
Pooja Khatri
asked
in
Probability
Sep 23, 2018
by
Pooja Khatri
155
views
probability
gravner
engineering-mathematics
conditional-probability
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Recent questions tagged conditional-probability
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