Question

A special deck of cards has 15 cards. six are green, five are blue, and four are red. when a card is picked, the color of it is recorded. an experiment consists of first picking a card and then tossing a coin.

a. how many elements are there in the sample space? [ select ]

Answer 1

The total number of elements in the sample space for picking a card from a deck of 15 (6 green, 5 blue, 4 red) and then tossing a coin is 30.

Step-by-step explanation:

The question is asking about the sample space of an experiment involving a deck of cards with different colors and tossing a coin. The special deck contains six green, five blue, and four red cards.

Since there are two possible outcomes for the coin toss (heads or tails), we can determine the total sample space by multiplying the number of card outcomes with the number of coin outcomes.

The total number of possible outcomes for the card selection is 15 (since there are 15 cards in total). For each card that is selected, there are 2 possible coin toss outcomes (heads or tails). Therefore, to find the total size of the sample space, we multiply the number of card outcomes by the number of coin toss outcomes:

15 cards × 2 coin outcomes = 30 elements in the sample space.