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
From a pack of 52 cards, two cards are drawn, the first being replaced before the second is drawn. What is the probability that the first is a diamond and the second is a king?
Answer: (b)
Probability of getting a diamond, P(D) = $13/52 = 1/4$
and probability to king, P(K) = $4/52 = 1/13$
So, required probability = P(D).P(K)
= $1/4 × 1/13 = 1/52$
A class consists of 80 students, 25 of them are girls and 55 are boys. If 10 of them are rich and the remaining poor and also 20 of them are intelligent then the probability of selecting an intelligent rich girl is
Answer: (b)
Total 80, Girls = 25, Boys = 55
10 R, 70 P, 20 I
$1/4 × 1/8 × 25/80 = 5/512$
A dice is thrown twice. The probability of getting 4, 5 or 6 in the first throw and 1, 2, 3 or 4 in the second throw is
Answer: (c)
Let P(A) and P(B) be the probability of the events of getting 4, 5 or 6 in the first throw and 1, 2, 3 or 4 in the second throw respectively, then
P (A and B) = P(A).P(B) = $1/2 × 2/3 = 1/3$
An urn contains 4 green, 5 blue, 2 red and 3 yellow marbles. If four marbles are drawn at random, what is the probability that two are blue and two are red?
Answer: (c)
According to question,
n (S) = $^14C_4 = {14!}/{(14 - 4) !4!} = {14!}/{10!4!}$ $[∵ ^nC_r = {n!}/{(n - r)! r!}]$
= ${14 × 13 × 12 × 11}/{4 × 3 × 2 × 1} = 1001$
and n(E) = $^5C_2 × ^2C_2 = {5!}/{(5 - 2)! 2!} × {2 !}/{(2 - 2)! 2!}$
= ${5 × 4}/{2 × 1} × {2 × 1}/{1 × 2 × 1} = 10$
∴ Required probability = ${n(E)}/{n(S)} = 10/1001$
What is the probability of two persons being born on the same day (ignoring date)?
Answer: (a)
Required probability = $365/365 × 1/365 = 1/365$.
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