# Probability - Numerical Test Questions and Answers

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A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:

### Answer & Explanation:

Answer: Option C

Explanation: Here, n(S) = 52.

Let E = event of getting a queen of club or a king of heart.

Then, n(E) = 2.

P(E) = n(E)/n(S) = 2/52 = 1/26.

A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

### Answer & Explanation:

Answer: Option C

Explanation:

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

### Answer & Explanation:

Answer: Option D

Explanation:

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

### Answer & Explanation:

Answer: Option B

Explanation: Clearly, there are 52 cards, out of which there are 12 face cards.

P (getting a face card) = 12/52 = 3/13.

A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

### Answer & Explanation:

Answer: Option B

Explanation: Let number of balls = (6 + 8) = 14.

Number of white balls = 8.

P (drawing a white ball) = 8/14 = 4/7.