# Probability Quiz 10

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# Probability Quiz 10

### Introduction

Probability is one of important topic in Quantitative Aptitude Section. In Probability Quiz 10 article candidates can find questions with answer. By solving this questions candidates can improve and maintain, speed, and accuracy in the exams. Probability Quiz 10 questions are very useful for different exams such as IBPS PO, Clerk, SSC CGL, SBI PO, NIACL Assistant, NICL AO, IBPS SO, RRB, Railways, Civil Services etc.

### Q1

A box contain 4 white, 3 blue and 2 black marbles. If 2 marbles are picked up at random. What is the probability that both of them are black ?
A. 20 B. $\frac {1}{36}$ C. $\frac {1}{22}$ D. 36

B
P = $\frac {^{2}{C}_{2}}{^{9}{C}_{2}} = \frac {1}{36}$

### Q2

Arun contains 6 maroon, 3 pink and 4 white balls. If three balls are drawn What is the probability that all are pink or white?
A. $\frac {11}{328}$ B. $\frac {7}{212}$ C. $\frac {5}{286}$ D. $\frac {9}{197}$

C
P = $\frac {^{3}{C}_{3}}{^{13}{C}_{3}} + \frac {^{4}{C}_{3}}{^{13}{C}_{3}}$
$\frac {1}{286} + \frac {4}{286} = \frac {5}{286}$

### Q3

A bag contains 4 white, 8 black and 6 blue balls. If two balls are drawn at random, find the probability of both the balls being black?
A. $\frac {22}{137}$ B. $\frac {14}{123}$ C. $\frac {28}{253}$ D. $\frac {7}{105}$

C
n(S) = $^{18}{C}_{2}$ = 153
There are eight black balls, out of which two balls are drawn in $^{8}{C}_{2}$ ways.
n(E) = 28
P(E) = $\frac {28}{253}$

### Q4

If two dice are thrown simultaneously, what is the probability that the sum of the numbers appeared is less than seven?
A. $\frac {5}{12}$ B. $\frac {7}{12}$ C. $\frac {6}{17}$ D. $\frac {13}{27}$

A
Sum of the numbers can be 1,2, 3, 4, 5, and 6.
1 + 2 = 3 1 + 3 = 4 1 + 4 = 5 1 + 5 = 6 2 + 3 = 5 3 + 2 = 5 2 + 4 = 6 4 + 2 = 6……..etc
n (E) = 15, n (S) = 36
P (E) = $\frac {15}{36} = \frac {5}{12}$

### Q5

In a shelf, there are 7 Banking awareness, 6 English and 5 GK books. One book is picked up randomly. What is the probability that it is neither in Banking awareness nor in GK ?
A. $\frac {1}{13}$ B. $\frac {2}{17}$ C. $\frac {1}{3}$ D. $\frac {12}{27}$

C
P = $\frac {6}{18} = \frac {1}{3}$

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