Question

An experiment consists of tossing a coin and drawing a card, with the card-drawing stage dependent on the result of the coin toss. If heads occurs, then a card is selected at random from the clubs and spades suits. If tails occurs, then a card is selected at random from the hearts and diamonds suits. What is the size of the sample space of this two-stage experiment?

A. 26
B. 52
C. 104
D. 208

Answer 1

B). Is the awnser 52

Answer 2

Answer: Option 'B' is correct.

Explanation:

Since we have given that

There is a coin and a deck of cards.

If there is a head, card is selected from the clubs and spades.

Number of clubs = 13

Number of spades = 13

If there is a tail, card is selected from the hearts and diamonds.

Number of hearts = 13

Number of diamonds = 13

Total size of the sample of this two stage experiment would be

13+13+13+13 = 52

Hence, Option 'B' is correct.