there are four marbles in a bag with the colors, red white blue and green. John pulls out one of the marbles and toss a coin. How many elements are there in the sample space.

Answer 1

There are 8 elements in the sample space.

To see why, first consider that there are 4 possible outcomes when John pulls out a marble: he can get a red, white, blue, or green marble.

Next, consider that when he tosses a coin, there are 2 possible outcomes: he can get heads or tails.

To determine the total number of outcomes in the sample space, we multiply the number of outcomes for each event. So, there are 4 outcomes for the marble and 2 outcomes for the coin toss, giving us a total of:

4 x 2 = 8

Therefore, there are 8 elements in the sample space.