Probability Quiz Set 020

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Question 1

A box contains 6 cyan, 3 pink and 8 orange marbles. What is the probability of drawing a orange marble if 2 marbles are drawn out randomly?

 A

${25/34}$.

 B

$8/17$.

 C

$26/136$.

 D

$30/136$.

Soln.
Ans: a

Total number of marbles is 17. Combinations of 2 marbles that are possible = 17C2 = ${17 × 16}/2$ = 136. If one of the two balls is orange, then both balls will be orange in 8C2 = ${8 × (8 - 1)}/2$ = 28 ways. The number of ways in which non-orange can be drawn out are 8 × (6 + 3). So total favorable outcomes = 28 + 8 × 9 = 100, and the probability is 100/136 = ${25/34}$.


Question 2

One card is drawn at random from a pack of 52 cards. What is the probability that it is either a Jack, or a Queen or a King only?

 A

3/13.

 B

5/26.

 C

1/13.

 D

8/52.

Soln.
Ans: a

There are 12 such cards in the entire deck of 52 cards, so the required probability is 12/52 = 3/13.


Question 3

If P(E) = 0.54, then what is the probability of non-occurrence of E?

 A

0.46.

 B

0.54.

 C

0.5.

 D

0.25.

Soln.
Ans: a

P(E) + P(non-occurrence of E) is always = 1. So P(non-occurrence of E) = 1 - P(E) = 0.46.


Question 4

What is the probability of getting a sum of 2 from two throws of a dice?

 A

1/18.

 B

1/3.

 C

2/3.

 D

1/6.

Soln.
Ans: a

Total outcomes = 36. Favorable are 2, which are: (1, 1), (1, 1). Probability = 2/36 = 1/18.


Question 5

Two players, A and B, play a game. It is known that probability of A's victory is 0.2. What is the probability of B's victory?

 A

0.8.

 B

0.2.

 C

0.5.

 D

0.25.

Soln.
Ans: a

One of the two is going to win. Probability of A's defeat is 1 - 0.2 = 0.8, which is the probability of B's victory.


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This Blog Post/Article "Probability Quiz Set 020" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-06-24.

Posted by Parveen(Hoven),
Aptitude Trainer


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