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### Question 1

A box contains 41 red balls and an unknown number of blue balls. If the probability of drawing a blue ball is 3 times the probability of drawing a red ball, then how many blue balls are there in the box?

### Question 2

A bag contains 2 Red, 6 Blue and 3 Green marbles. What is the probability of drawing a Red marble if 2 marbles are drawn out randomly?

**A**

${19/55}$.

**B**

$3/11$.

**C**

$20/55$.

**D**

$24/55$.

**Soln.**

**Ans: a**

Total number of marbles is 11. Combinations of 2 marbles that are possible = ^{11}C_{2} = ${11 × 10}/2$ = 55. If one of the two balls is red, then red + red is one possibility, and 2 × (6 + 3) are the other possibilities. So total favorable outcomes = 1 + 2 × 9 = 19, and the probability is 19/55 = ${19/55}$.

### Question 3

12 bowls are lying inverted on a table. 8 of them contain marbles, but 4 of them are empty. What is the probability of getting a marble if one of the bowls is opened randomly?

### Question 4

Karmjeet and Sham are friends. What is the probability that both will have different birthdays, ignoring a leap year?

### Question 5

Two players, A and B, play a game. It is known that probability of A's victory is 0.58. What is the probability of B's victory?

This Blog Post/Article "Probability Quiz Set 016" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-02-07. Published on: 2016-05-08