Probability

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #41

If `P(A) = 1/4`, `P(B) = 1/3` & `P(A \cap B) = 1/5`, then find `P(\bar{B} | \bar{A})`
Ans: `37/45`
SEE SOLUTION

Question No: #42

If `P(A) = 0.5`, `P(B) = 0.4`, `P(A \cap B) = 0.3`, then find the value of `P(A^c | B^c)`
Ans: `2/3`
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Question No: #43

If `P(A) = 7/13`, `P(B) = 9/13` and `P(A \cap B) = 4/13` then find `P(\bar{A} | B)`
Ans: `5/9`
SEE SOLUTION

Question No: #44

`A` and `B` are two events such that `P(A) = 1/4`, `P(B) = 1/2` and `P(A \cap B) = 1/8`, then `P(\bar{A} \cap \bar{B})` is --
(a) `3/4`, (b) `3/8`, (c) `1/2`, (d) `1/3`
Ans: (b) `3/8`
SEE SOLUTION

Question No: #45

If `P(A) = 0.3`, `P(B) = 0.4` and `P(A \cup B) = 0.6`, then find `P(\bar{A} | B)` & `P(\bar{B} | A)`
Ans: `2/3, 4/7`
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Question No: #46

If `P(A) = 2/3`, `P(B) = 1/4` and `P(A | B) = 1/3`, then find the probability of occurring exactly one events of `A` & `B`
Ans: `3/4`
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Question No: #47

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`
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Question No: #48

`A` & `B` are two events such that `P(A \cup B) = 4/5`, `P(\bar{A} \cup \bar{B}) = 7/10` and `P(B) = 2/5`, then value of `P(A)` is --
(a) `9/10`, (b) `7/10`, (c) `3/5`, (d) `8/10`
Ans: (b) `7/10`
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Question No: #49

There are three children in a family. The probability of all the children are boys is --
(a) `1/3`, (b) `1/4`, (c) `1`, (d) `1/2`
Ans: (a) `1/3`
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Question No: #50

`A` & `B` are two mutually independent events. If `P(A) = 0.2`, `P(A \cup B) = 0.8` then value of `P(A \cap B)` is -
(a) `0.12` (b) `0.15` (c) `0.3` (d) `0.25`
Ans: (b) `0.15`
SEE SOLUTION