# Probability Quiz Set 009

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 Correct Answers: Wrong Answers: Unattempted:

### 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.

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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