Probability Quiz Set 002

Question 1

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 2

A box contains 82 red balls and an unknown number of blue balls. If the probability of drawing a blue ball is 2 times the probability of drawing a red ball, then how many blue balls are there in the box?

A

164.

B

169.

C

159.

D

174.

Soln.
Ans: a

Let the number of blue balls be x. Chances of drawing a blue ball are \$x/{x + 82}\$ = 2 × \$82/{x + 82}\$, which gives x = 2 × 82 = 164.

Question 3

Two players, A and B, play a game. It is known that probability of A's victory is 0.34. What is the probability of B's victory?

A

0.66.

B

0.34.

C

0.5.

D

0.25.

Soln.
Ans: a

One of the two is going to win. Probability of A's defeat is 1 - 0.34 = 0.66, which is the probability of B's victory.

Question 4

A box contains 8 orange, 6 khaki and 2 navy marbles. What is the probability of drawing a marble that is not navy if 2 marbles are drawn out randomly?

A

\${91/120}\$.

B

\$2/16\$.

C

\$92/120\$.

D

\$96/120\$.

Soln.
Ans: a

Total number of marbles is 16. Combinations of 2 marbles that are possible = 16C2 = \${16 × 15}/2\$ = 120. Chances of drawing a non-navy ball are 14C2 = \$(14 × (14 - 1))/2\$ = 91. So probability = 91/120 = \${91/120}\$.

Question 5

What is the probability of getting a multiple of 3 when a dice is tossed in the air?

A

1/3.

B

1/2.

C

1/4.

D

0.

Soln.
Ans: a

Total outcomes are 6. The number of favorable chances are two: 3, 6. So probability is 2/6 = 1/3.

This Blog Post/Article "Probability Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer