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Probability
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Probability
All Questions (Page: 3)
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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: #21
Find the probability that the 13th day of a randomly chosen month is a Friday.
Ans: `1/84`
SEE SOLUTION
Question No: #22
The probability that a leap year will have 53 Fridays or 53 Saturdays is -
(a) `1/7` (b) `2/7`, (c) `3/7`, (d) `4/7`
Ans: (c) `3/7`
SEE SOLUTION
Question No: #23
In a non-leap year the probability of getting 53 Sundays or 53 Tuesdays or 53 Thursdays is -
(a) `1/2` (b) `2/7` (c) `3/7` (d) `4/7`
Ans: (c) `3/7`
SEE SOLUTION
Question No: #24
Three integers are chosen at random from the first 20 integers. The probability that their product is even is --
(a) `2/19`, (b) `17/19`, (c) `15/19`, (d) none of these
Ans: (b) `17/19`
SEE SOLUTION
Question No: #25
If three distinct numbers are chosen randomly from the first 100 natural numbers, then the probability that all the three numbers are divisible by both 2 and 3 is --
(a) `4/25` (b) `4/35` (c) `4/33` (d) `4/1155`
Ans: (d) `4/1155`
SEE SOLUTION
Question No: #26
`A` & `B` are mutually exclusive events. If `P(A) = 1/2` & `P(A \cup B) = 2/3`, then value of `P(B)` is --
(a) `1/4`, (b) `1/6`, (c) `1/3`, (d) `1/5`
Ans: (b) `1/6`
SEE SOLUTION
Question No: #27
Two events A & B associated with a random experiment, are such that `P(B)=0.35`, `P(A\cupB)=0.85` & `P(A\capB)=0.15`, then find `P(A)`
Ans: 0.65
SEE SOLUTION
Question No: #28
`A, B, C` are three events which are mutually exclusive & exhaustive. If `P(B) = 3/2\ P(A)`, `P(C) = 1/3\ P(B)`, then value of `P(C)` is --
(a) `1/6`, (b) `1/2`, (c) `1/3`, (d) `2/3`
Ans: (a) `1/6`
SEE SOLUTION
Question No: #29
A coin is tossed 10 time. The probability of getting 6 heads -
(a) `C_5^10 1/2^10`, (b) `C_3^10 1/2^10`, (c) `C_4^10 1/2^10`, (d) `C_8^10 1/2^10`,
Ans: (c) `C_4^10 1/2^10`
SEE SOLUTION
Question No: #30
Eight coins are thrown together. Find the probability that -
i) at least six heads obtained,
ii) exactly three heads obtained,
Ans: i) `37/256` ii) `7/32`
SEE SOLUTION
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