Probability Aptitude Mcq Pdf Model Questions & Answers, Practice Test for ibps po prelims 2024 2025

Question :1

The chance of winning the race of the horse A is 1/5 and that of horse B is 1/6. What is the probability that the race will be won by A or B ?

Answer: (b)

Let P(A) be the probability that the race will be won by A and P(B) be the probability that the race will be won by B.

∴ P(A) = $1/5$ and P(B) = $1/6$

∴ Probability that the race will be won by

A or B = P(A) + P(B) = $1/5 + 1/6 = 11/30$

Question :2

Two numbers a and b are chosen at random from the set of first 30 natural numbers. The probability that a 2 – b 2 is divisible by 3 is:

Answer: (a)

Out of 30 numbers 2 numbers can be chosen in $^30C_2$ ways.

So, exhaustive number of cases = $^30C_2$ = 435

Since $a^2 – b^2$ is divisible by 3 if either a and b are divisible by numbers, of cases = $^10C_2 + ^20C_2$ = 235

Hence, required probability = $235/435 = 47/87$

Question :3

The probabilities that A and B will die within a year are p and q respectively, then the probability that only one of them will be alive at the end of the year is -

Answer: (d)

Question :4

An urn contains 4 green, 5 blue, 2 red and 3 yellow marbles. If two marbles are drawn at random, what is the probability that both are red or at least one is red ?

Answer: (e)

According to question,

n(S) = $^14C_2 = {14!}/{(14 - 2)! 2!} = {14 × 13}/{2 × 1} = 91$

∴ Probability of at least one red ball

= 1 - $^12C_2/^14C_2 = 1 - 66/91 = {91 - 66}/91 = 25/91$

Question :5

An integer is chosen at random from the numbers 1, 2, ....., 25. The probability that the chosen number is divisible by 3 or 4, is

Answer: (b)

P (3 ∪ 4) = P(c) + P(d) – P (3 ∩ 4)

= $8/25 + 6/25 - 2/25 = 12/25$

ibps po prelims 2024 2025 IMPORTANT QUESTION AND ANSWERS
Probability ibps po prelims 2024 2025 question answer with explanation PDF

Recently Added Subject & Categories For All Competitive Exams

General English Vocabulary Fill in the Blanks With Answers

Complete Verbal Ability/ General English Comprehension Topic-wise Model Practice Test for IBPS-SO and other Banking Exams based on previously asked questions.

07-Jun-2025 by Careericons

Continue Reading »

Top Simplification Questions For IBPS SO Bank Exams 2025

Quantitative Simplification Questions with Answers for IBPS SO. Also, we provide a complete quiz test series for IBPS SO 2025-26 Exam Questions and PDF for Free

19-May-2025 by Careericons

Continue Reading »

Finding Odds Classification MCQs for IBPS SO Prelims 2024-25

Verbal Reasoning Classification Topic-wise Practice Question and Answer Test series & Quiz. Complete IBPS SO Prelims 2024-25 Syllabus-wise Full Mock Test Series

14-May-2025 by Careericons

Continue Reading »

100+ Cloze Test Questions & Answers for IBPS SO Bank Exams

Complete Verbal Ability/ General English Comprehension Topic-wise Multiple Choice Questions & Answers Practice Test Series for IBPS SO Bank 2025 & 2026 Exams

07-May-2025 by Careericons

Continue Reading »