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

In every side of the coin, there is a fifty fifty chance of landing on the other side, so there is a probability of 0.50. In a deck of cards, there are 52 cards with 26 clubs and another 26 for spades. So in every random choice, there is a 1/26 probability of the card being chosen.