Question

There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You pick a ball from the hat at random and then you flip a coin. Using a tree diagram, obtain the sample space for the experiment.A. {1 H, 6 H, 7 H}B. {1 H T, 6 H T, 7 H T}C. {1 H, 1 T, 6 H, 6 T, 7 H, 7 T}D. {1 6 7 H, 1 6 7 T}

Answer 1

Answer:

C. {1H, 1T, 6H, 6T, 7H, 7T}

Explanations:

Sample space of the balls in a hat = {1, 6, 7}

Sample space of a tossed coin = {H, T}

The tree diagram representing the experiment is shown below:

From the tree diagram, the sample space for the experiment is:

{1H, 1T, 6H, 6T, 7H, 7T}