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### Question 1

75 defective pens are accidentally mixed with 36 good ones. It is not possible to just look at a pen and tell whether it is defective or not. One pen is taken out at random. What is the probability that it is a defective pen?

### Question 2

11 bowls are lying inverted on a table. 6 of them contain coins, but 5 of them are empty. What is the probability of getting a coin if one of the bowls is opened randomly?

### Question 3

Two players, A and B, play a game. It is known that probability of A's victory is 0.39. What is the probability of B's victory?

### Question 4

Two friends were born on non-leap years. What is the chance that their birthdays do not fall on the same day and month of the year?

### Question 5

A box contains 3 maroon, 6 green and 2 khaki marbles. What is the probability of drawing a khaki marble if 2 marbles are drawn out randomly?

**A**

${19/55}$.

**B**

$2/11$.

**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 khaki, then both balls will be khaki in ^{2}C_{2} = ${2 × (2 - 1)}/2$ = 1 ways. The number of ways in which non-khaki can be drawn out are 2 × (3 + 6). So total favorable outcomes = 1 + 2 × 9 = 19, and the probability is 19/55 = ${19/55}$.

This Blog Post/Article "Probability Quiz Set 011" 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