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Probability
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Probability
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All Questions (PDF)
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Study Material (PDF)
All Questions (PDF)
Self Assesment
Sort As
Serial Number
Newly Added
Language
English
Bengali
Click on each question to see answer & solution.
Question No: #1
A bag contains 6 balls of different colours and a ball is drawn from it. A's probability of speaking the truth is `\frac{2}{3}` and B's probability of speaking thetruth is `\frac{4}{5}`. If both A and B say that a red ball has been drawn, then find the probability that actually a red ball has been drawn.
Ans: `40/41`
SEE SOLUTION
Question No: #2
A bag contains 4 balls.Two balls drawn at random without replacement and are found to be white. What is the probability that all balls are white?
Ans: `3/5`
SEE SOLUTION
Question No: #3
If `P(A)=0.6`, `P(B)=0.75` and `P(A | B)=0.45`, then find the value of `P(B^c | A)`
Ans: `0.4375`
SEE SOLUTION
Question No: #4
A and B are two independent events such that `P(A)=1/2`, `P(B)=1/5`. Then value of `P(A | A\cupB)` is --
(a) `1/5`, (b) `2/5`, (c) `5/6`, (d) `5/7`
Ans: (c) `5/6`
SEE SOLUTION
Question No: #5
Suppose 5% of men and 0.25% of women have grey hair. A grey haired person is selected at random. What is the probability of this person being male? Assume that there are equal number of males and females.
Ans: `20/21`
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Question No: #6
There are 2 white, 3 red & 4 black balls. One ball is drawn from the bag and then again one ball is drawn from the bag. What is the probability of at least one red ball among 2 drawn balls?
Ans: `7/12`
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Question No: #7
An urn A contains 3 white and 5 red balls, a second urn B contains 5 white and 3 red balls. Two balls are transferred from urn A to urn B, then a ball is drawn from the urn B. What the probability that it is red?
Ans:
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Question No: #8
The probability that a teacher will give an unannounced test during any class meeting is `1/5`. If a student is absent twice, then find the probability that the student will miss at least one test.
Ans: `9/25`
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Question No: #9
If `P(A | B)=1`, then prove that `P(ABC)=P(BC)`
Ans:
SEE SOLUTION
Question No: #10
There are 3 coins in a box. The probability of getting head is `2/3` for two of them, while for remaining it is `1/2`. A coin is chosen at random and tossed 3 times, showing head in each case. What is the probability that the coin is unbiased ?
Ans: `27/155`
SEE SOLUTION
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