Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

A carton consists of 100 cups out of which 66 are good, 8 have minor defects and the remaining have major defects. A cup is taken out at random. What is the probability that it has a major defect?

### Question 2

A box contains 5 cyan, 3 navy and 7 khaki marbles. What is the probability of drawing a marble that is not khaki if 2 marbles are drawn out randomly?

**A**

${4/15}$.

**B**

$7/15$.

**C**

$5/105$.

**D**

$9/105$.

**Soln.**

**Ans: a**

Total number of marbles is 15. Combinations of 2 marbles that are possible = ^{15}C_{2} = ${15 × 14}/2$ = 105. Chances of drawing a non-khaki ball are ^{8}C_{2} = $(8 × (8 - 1))/2$ = 28. So probability = 28/105 = ${4/15}$.

### Question 3

From a deck of 52 cards two cards are drawn at random. What is the probability that both one is a hearts, and the other a clubs?

**A**

${13/102}$.

**B**

$7/9$.

**C**

$14/102$.

**D**

$18/102$.

**Soln.**

**Ans: a**

Number of ways of drawing 2 cards out of 52 = ^{52}C_{2} = $(52 × 51)/2$ = 1326. There are 13 hearts and 13 clubs in the deck. So 2 such cards can be drawn in 13 × 13 = 169 ways. The probability = 169/1326 = 13/102.

### Question 4

From a deck of 52 cards two cards are drawn at random. What is the probability that both one is a clubs, and the other a hearts?

**A**

${13/102}$.

**B**

$8/9$.

**C**

$14/102$.

**D**

$18/102$.

**Soln.**

**Ans: a**

Number of ways of drawing 2 cards out of 52 = ^{52}C_{2} = $(52 × 51)/2$ = 1326. There are 13 clubs and 13 hearts in the deck. So 2 such cards can be drawn in 13 × 13 = 169 ways. The probability = 169/1326 = 13/102.

### Question 5

From a deck of 52 cards 1 card is drawn at random. What is the probability that it will be a red "10"?

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This Blog Post/Article "Probability Quiz Set 010" 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