Consider a spinner with numbers 1-8 and a number cube with numbers 1-6. Let event A represent landing on a number greater than 3 on the spinner and event B represent rolling a number greater than 3 on the number cube. Find P(A∩B)

Question

.(1 point)
Responses

14
1 fourth

516
5 over 16

18
1 eighth

98

Answer 1

1 eighth

To find P(A∩B), we first need to determine the outcomes that satisfy both events A and B.

Event A represents landing on a number greater than 3 on the spinner, so the outcomes are 4, 5, 6, 7, 8.
Event B represents rolling a number greater than 3 on the number cube, so the outcomes are 4, 5, 6.

The outcomes that satisfy both events are 4, 5, 6. There are 3 of them.

Since there are a total of 8 possible outcomes on the spinner and 6 possible outcomes on the number cube, the total number of outcomes is 8 * 6 = 48.

Therefore, P(A∩B) = 3/48 = 1/16 = 1 eighth.