Question

A coin is tossed with possible outcomes H or T. Then a spinner spun with possible outcomes 1 through

4, how many combined outcomes are there? (Draw a tree diagram on the back of sheet) Write the
sample space. What is the probability of rolling an even number and a tail (event)?

Answer 1

Explanation:

There are two outcomes for the coin toss (head and tail). For each outcome, there are 4 outcomes for the spinner (1, 2, 3, 4).

The sample space is: H1, H2, H3, H4, T1, T2, T3, T4

There's a total of 8 possibilities. 2 of them are tails and even (T2 and T4). So the probability is 2/8 = 1/4, or 25%.