Question

A spinner is divided into three equal sections labeled 1, 2, and 3. Another spinner is divided into four equal sections labeled W, X, Y, and Z. Toshio will spin each spinner one time.

How many of the possible outcomes have an odd number or an X?

Enter your answer in the box. the answer was 25

Answer 1

From the first spinner, there are a total of 3 sections with 2 of them labelled odd numbers (i.e. 1 and 3 are odd).

Since the outcomes of the two spinners are independent, the number of possible outcomes that will have an odd number is 2 * 4 = 8.

From the second spinner, there are a total of 4 sections with 1 of them labelled X.

Since, the outcomes of the two spinners are independent, the number of possible outcomes that will have X is 1 * 3 = 3

The number of possible outcomes that will have both an od number and X is 2, (i.e. 1,X and 3,X)

Thus, the number of possible outcomes that have an odd number or an X is given by 8 + 3 - 2 = 9.