Probability Quiz Set 010

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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?

 A

${13/50}$.

 B

$8/66$.

 C

$14/50$.

 D

$18/50$.

Soln.
Ans: a

Out of 100 outcomes, the ones that favor a cup with a major defect are 100 - 66 - 8 = 26. So probability = 26/100 = ${13/50}$.


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 = 15C2 = ${15 × 14}/2$ = 105. Chances of drawing a non-khaki ball are 8C2 = $(8 × (8 - 1))/2$ = 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 = 52C2 = $(52 × 51)/2$ = 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 = 52C2 = $(52 × 51)/2$ = 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"?

 A

${1/26}$.

 B

$4/5$.

 C

$2/26$.

 D

$6/26$.

Soln.
Ans: a

Number of ways of drawing 1 card = 52. There are two red "10" in the whole pack. So favorable chances are 2. Probability = 2/52 = 1/26.


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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 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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