Curioustab

Home » Aptitude » Probability

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

3 20
29 34
47 100
13 102

Correct Answer: 13 102

Explanation:

Let S be the sample space.

Then, n(S) = ⁵²C₂ =	(52 x 51)	= 1326.
	(2 x 1)

Let E = event of getting 1 spade and 1 heart.

∴ n(E)	= number of ways of choosing 1 spade out of 13 and 1 heart out of 13
	= (¹³C₁ x ¹³C₁)
	= (13 x 13)
	= 169.

∴ P(E) =	n(E)	=	169	=	13	.
	n(S)		1326		102

← Previous Question Next Question→

More Questions from Probability

A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:
What is the probability of getting a sum 9 from two throws of a dice?
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
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?
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
Three unbiased coins are tossed. What is the probability of getting at most two heads?
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion