Probability Aptitude Mcq Model Questions & Answers, Practice Test for ssc chsl tier 1 2024
ssc chsl tier 1 2024 SYLLABUS WISE SUBJECTS MCQs
Number System
Simplification
Power, Indices And Surds
Time & Work
Time & Distance
Mensuration
Profit & Loss
Alligation & Mixtures
Simple Interest
Probability
Permutations & Combination
Two dice are thrown simultaneously. What is the probability of obtaining a multiple of 2 on one of them and a multiple of 3 on the other
Answer: (a)
Favourable cases for one are there i.e., 2, 4 and 6 and for other are two i.e., 3, 6.
Hence required probability = $[({3 × 2}/36) 2  1/36] = 11/36$
[As same way happen when dice changes numbers among themselves]
Six dice are thrown. The probability that different number will turn up is
Answer: (b)
The number of ways of getting the different number
1, 2, ....., 6 in six dice = 6 !.
Total number of ways = $6^6$
Hence, required probability = ${6!}/6^6$
=${1 × 2 × 3 × 4 × 5 ×6}/6^6 = 5/324$
A committee of 5 Students is to be chosen from 6 boys and 4 girls. Find the probability that the committee contains exactly 2 girls.
Answer: (c)
5 Students can be selected from 10 in $^10C_5$ ways.
∴ n (S) = $^10C_5 = {10!}/{5!.5!} = {10 × 9 × 8 × 7 × 6}/{5 × 4 × 3 × 2}$ = 252
Let A be the event that the committee includes exactly 2 girls and 3 boys.
The two girls. can be selected in $^4C_2$ ways and the 3 boys can be selected in $^6C_3$ ways.
∴ n(A) = $^4C_2 × ^6C_3$ = 6 × 20 = 120
∴ P(A) = ${n(A)}/{n(S)} = 120/252 = 10/21$
In tossing three coins at a time, what is the probability of getting at most one head?
Answer: (b)
Possible samples are as follows
{HHH, HTH, HHT, THH, TTH, THT, HTT, TTT}
Let A be the event of getting one head.
Let B be the event of getting no head.
Favourable outcome for
A = {TTH, THT, HTT}
Favourable outcome for
B = {TTT}
Total no. of outcomes = 8
∴ P(A) = $3/8$, P(B) = $1/8$
∴ Required probability = Probability of getting one head + Probability of getting no head
= P(A) + P(B) = $3/8 + 1/8 = 4/8 = 1/2$
The probability that a man can hit a target is 3/4. He tries 5 times. The probability that he will hit the target at least three times is
Answer: (d)
Required probability
= $^5C_3 (3/4)^3 (1/4)^2 + ^5C_4 (3/4)^4 (1/4) + ^5C_5 (3/4)^5 = 459/512$
ssc chsl tier 1 2024 IMPORTANT QUESTION AND ANSWERS

Number System Aptitude MCQ Test For SSC CHSL [2024] Tier 1 »

Simplification Aptitude MCQ Test For SSC CHSL 2024 Tier 1 »

Surds & Indices Aptitude Questions: SSC CHSL 2024 Tier 1 »

Time & Work Aptitude Questions Test: SSC CHSL 2024 Tier 1 »

Time & Distance Aptitude Questions Test For SSC CHSL 2024 »

Mensuration Aptitude Questions Test: SSC CHSL 2024 Tier 1 »

100+ Profit and Loss Questions with Solutions PDF SSC »

55+ Mixture and Alligation Questions Answers PDF SSC »

100+ Simple Interest Model Questions with Solutions, PDF »

Top 100+ Probability MCQ Questions and Answers PDF: SSC »

Top Permutation and Combination Practice Questions PDF »
ssc chsl tier 1 2024TOPICS
Read More
All Exams

SSC
»
Model MCQ Test [Syllabus Wise], Syllabus, Notification 
BANKING
»
Model MCQ Test [Syllabus Wise], Syllabus, Notification 
TNPSC
»
Model MCQ Test [Syllabus Wise], Syllabus, Notification
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
Top 100+ English Jumbled Sentences MCQ with PDF for RBI
Very important Jumbled Sentences questions with answers PDF for RBI. 100+ General English practice exercises for all Bank, Govt, and Competitive Exams
Continue Reading »
Top 199+ Percentage Aptitude Online Test For UPSC TNPSC
Problems on percentage aptitude problems solving with the help of allegations & mixture method. Get all easy, quick shortcuts, formulas, methods & techniques
Continue Reading »
100+ Quadratic Equations MCQ with Solution PDF for SBI
Top Quadratic Equations Aptitude MCQ questions with detailed solutions, download PDF. Practice 100+ model exercises for RBI, all Govt, and Competitive Exams
Continue Reading »
Simple Interest Aptitude MCQ Questions Solutions PDF SBI
Recent Simple Interest Aptitude MCQ questions with detailed solutions, download PDF. Practice 100+ model exercises for RBI, all Govt, and Competitive Exams
Continue Reading »