Probability Model Questions Set 1 Practice Questions Answers Test with Solutions & More Shortcuts

Probability PRACTICE TEST [1 - EXERCISES]

Probability Model Questions Set 1

Question : 1

Two packs of cards are thoroughly mixed and shuffled and two cards are drawn at random, one after the other. What is the probability that both of them are jacks?

a) $2/13$

b) $1/169$

c) $1/13$

d) $7/1339$

e) $1/179$

Answer: (d)

Total number of cards = 104 = 2 × 52

and total number of jacks = 8 = 2 × 4

∴ Probability for the jack in first draw = $8/{104}$

and probability for the jack in second draw = $7/{103}$

Since both the events are independent events.

Hence the probability that both of them are jacks.

= ${8}/{104}$ × ${7}/{103}$ = $7/{1339}$

Question : 2

A basket contains three blue and four red balls. If three balls are drawn at random from the basket, what is the probability that all the three are either blue or red ?

a) $1/7$

b) $3/28$

c) 1

d) $3/14$

e) None of these

Answer: (e)

Probability to be a Blue = ${^3C_3}/{^7C_3}$

Probability to be a Red = ${^4 C_3}/{^7C_3}$

Required probability = ${^3 C_3}/{^7 C_3}$ + ${^4 C_3}/{^7C_3}$ = $2/{35}$

Question : 3

In a box carrying one dozen of oranges, one-third have become bad. If 3 oranges are taken out from the box at random, what is the probability that at least one orange out of the three oranges picked up is good?

a) $54/55$

b) $3/55$

c) $1/55$

d) $45/55$

e) None of these

Answer: (a)

P(At least one good) = 1 – P(All bad)

= 1 - ${{^4C_3}/{^12C_3}}$ = 1 - ${4/{220}}$ = 1 -${1/{55}}$= ${54}/{55}$

Question : 4

Directions :
Study the given information carefully and answer the questions that follow.

A basket contains 4 red, 5 blue and 3 green marbles.


If two marbles are drawn at random, what is the probability that both are red ?

a) $1/2$

b) $1/6$

c) $3/7$

d) $2/11$

e) None of these

Answer: (e)

Total possible result n(S) = $^{12}C_{2}$ = ${12 × 11}/{1 × 2}$ = 66

Total number of event = n(E) $^4 C _2$ = ${4 × 3}/{1 × 2}$ = 6

∴ Required probability = ${n(E)}/{n(S)}$ = $6/{66}$ = $1/{11}$

Question : 5

A dice is thrown. What is the probability that the number shown on the dice is not divisible by 3?

a) $2/3$

b) $2/5$

c) $1/3$

d) $1/4$

e) None of these

Answer: (a)

S = {1, 2, 3, 4, 5, 6}; n(S) = 6

E(not divisible by 3) = 1, 2, 4, 5}, n(E) = 4

∴ P(not divisible by 3) = $4/6$ = $2/3$

IMPORTANT quantitative aptitude EXERCISES

Probability Model Questions Set 1 Online Quiz

Click to Start..

Recently Added Subject & Categories For All Competitive Exams

New Time and Distance Aptitude MCQ PDF for IBPS Clerk 2024

Latest Time and Distance multiple choice questions and answers with solution PDF for IBPS Clerk Prelims 2024. Practice Speed Aptitude based Objective Mcq

09-May-2024 by Careericons

Continue Reading »

Word Formation Objective Questions MCQs for IBPS Clerk 2024

Current year Important Objective Questions and Answers with Explanation for IBPS Clerk Prelims 2024 exam. English Vocabulary multiple choice practice exercises

08-May-2024 by Careericons

Continue Reading »

Time and work Questions with Solution PDF IBPS Clerk 2024

Free Time and Work Quants Aptitude concepts based Multiple Choice Questions and Answers Practice Test, Downloadable Quiz PDF for IBPS Clerk Prelims 2024 Exam

07-May-2024 by Careericons

Continue Reading »

Series Completion Questions & Answers PDF IBPS Clerk 2024

Top Alphabet Number Series Completion based Verbal Reasoning Multiple choice questions with answers PDF, & Free IBPS Mock tests For IBPS Clerk Prelims 2024

06-May-2024 by Careericons

Continue Reading »