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### Question 1

A carton consists of 100 cones out of which 47 are good, 3 have minor defects and the remaining have major defects. A cone is taken out at random. What is the probability that it has a major defect?

### Question 2

A carton consists of 100 bowls out of which 74 are good, 6 have minor defects and the remaining have major defects. A bowl is taken out at random. What is the probability that it has a major defect?

### Question 3

From a deck of 52 cards two cards are drawn at random. What is the probability that both will be "8"?

### Question 4

A box contains 6 sky blue, 3 red and 8 khaki marbles. What is the probability of drawing a khaki marble if 2 marbles are drawn out randomly?

**A**

${25/34}$.

**B**

$8/17$.

**C**

$26/136$.

**D**

$30/136$.

**Soln.**

**Ans: a**

Total number of marbles is 17. Combinations of 2 marbles that are possible = ^{17}C_{2} = ${17 × 16}/2$ = 136. If one of the two balls is khaki, then both balls will be khaki in ^{8}C_{2} = ${8 × (8 - 1)}/2$ = 28 ways. The number of ways in which non-khaki can be drawn out are 8 × (6 + 3). So total favorable outcomes = 28 + 8 × 9 = 100, and the probability is 100/136 = ${25/34}$.

### Question 5

Two fair dice are tossed simultaneously. What is the probability that the total score is a prime number?

**A**

5/12.

**B**

3/5.

**C**

1/6.

**D**

5/36.

**Soln.**

**Ans: a**

Out of a total of 6 × 6 = 36 outcomes, the favorable ones are: (1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (4, 1), (4, 3), (5, 2), (5, 6), (6, 1), (6, 5). So total favorable are: 15. Probability = 15/36 = 5/12.

### More Chapters | See All...

Profit and Loss | Percentages | Boats and Streams | Logarithms | Time and Work | Sitting Arrangements | Volume and Surface Areas | Problems on Ages | Course of Action | HCF and LCM | More...

This Blog Post/Article "Probability Quiz Set 019" 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