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?

Answer 1

Answer: The size of the sample space of this two-stage experiment is 52 .

Explanation:

The given experiment : 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.

For the occurrence of heads, there will be 26 cards which can be chosen from clubs and spades suits.

For the occurrence of tails, there will be 26 cards which can be chosen from hearts and diamonds suits.

Therefore the size of the sample space = 26+26=52.

Answer 2

The problem ask to calculate the size of the sample space of this two-stage experiment. Base on the data given and with my calculation. I came up with an answer of that the sample space is 2 times 26 and the size if 52. I hope this helps