probability mcq pdf Model Questions & Answers, Practice Test for ibps rrb so officer sclae 2 3 single exam 2024
ibps rrb so officer sclae 2 3 single exam 2024 SYLLABUS WISE SUBJECTS MCQs
Number System
Lcm & Hcf
Ratio & Proportion
Percentage
Time & Work
Mensuration
Advance Math
Trigonometric Ratios & Identities
Average
Profit & Loss
Alligation & Mixtures
Compound Interest
Linear Equations
Quadratic Equations
Probability
Permutations & Combination
In single cast with two dice the odds against drawing 7 is
Answer: (c)
Let E = {(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)}
∴ P(E) = $6/{6 × 6} = 1/6$
So, odds against drawing 7
= ${P(\ov{E})}/{P(E)} = {1 - 1/6}/{1/6} = 5/1$
The probability that A can solve a problem is $2/3$ and B can solve it is $3/4$. If both attempt the problem, what is the probability that the problem gets solved?
Answer: (c)
The probability that A cannot solve the problem
= $1 - 2/3 = 1/3$
The probability that B cannot solve the problem
= $1 - 3/4 = 1/4$
The probability that both A and B cannot solve the problem
= $1/3 × 1/4 = 1/12$
∴ The probability that at least one of A and B can solve the problem
= $1 - 1/12 = 11/12$
∴ The probability that the problem is solved = $11/12$
An urn contains 4 green, 5 blue, 2 red and 3 yellow marbles. If three marbles are drawn at random, what is the probability that at least one is yellow ?
Answer: (a)
According to question,
n(S) = $^14C_3 = {14!}/{(14 - 3)! 3!} = {14 × 13 × 12}/{3 × 2 × 1} = 364$
∴ Required probability
= 1 - $^11C_3/^14C_3 = 1 - 165/364 = {364 - 165}/364 = 199/364$
Let 0 < P(A) < 1, 0 < P(B) < 1 and P(A ∪ B) = P(A) + P(B) - P(A) P(B), then :
Answer: (d)
Given P(A) + P(B) – P(A) P(B) = P(A ∪ B)
Comparing with
P(A) + P(B) – P(A ∩ B) = P(A ∪ B)
we get P(A ∩ B) = P(A).P(B)
∴ A and B independent events.
The probability of getting head and tail alternately in three throws of a coin (or a throw of three coins), is
Answer: (a)
Total probable ways = 8
Favourable number of ways = HTH, THT
Hence required probability = $2/8 = 1/4$
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