Probability Quiz Set 009

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Question 1

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

$3/9$.

 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 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 = 11C2 = ${11 × 10}/2$ = 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

From a deck of 52 cards two cards are drawn at random. What is the probability that both will be "10"?

 A

${1/221}$.

 B

$9/15$.

 C

$2/221$.

 D

$6/221$.

Soln.
Ans: a

Number of ways of drawing 2 cards out of 52 = 52C2 = $(52 × 51)/2$ = 1326. There are 4 "10"s in all, so 2 can be drawn in 4C2 = $(4 × 3)/2 = 6$ ways. The probability is 6/1326 = ${1/221}$.


Question 4

A piggy bank contains 82 nos. of 50-paise coins, 37 nos. of 1-rupee coins and 80 nos. of 2-rupee coins. The piggy bank is turned upside down, and one coin falls down. What is the probability that it is a 50-paise coin?

 A

${82/199}$.

 B

$80/199$.

 C

$83/199$.

 D

$87/199$.

Soln.
Ans: a

Out of the total number of coins = 199, the chances favoring 50-paise coin are 82. So the probability is 82/199 = ${82/199}$.


Question 5

A bag contains lemon flavored candies only. Malini takes out a candy without looking into the bag. What is the probability that she takes out an orange flavored candy?

 A

0.

 B

1.

 C

0.5.

 D

2.

Soln.
Ans: a

The bag contains lemon flavored candies only, so the probability of orange flavored candy being taken out is zero.


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This Blog Post/Article "Probability Quiz Set 009" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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