Question

Michael is spinning a spinner labeled with the numbers 1 through 10. Which option(s) represent(s) a pair of complementary events in this situation?

a. Landing on an even number and landing on 5
b. Landing on a multiple of 3 and landing on an odd number
c. Landing on 1 and landing on a prime number
d. All of the above

Answer 1

None of the provided options represent a pair of complementary events on a spinner labeled with numbers 1 through 10. Complementary events must cover all outcomes and be mutually exclusive, which none of these options fulfill.

Step-by-step explanation:

The question asks which option represents a pair of complementary events in the context of Michael spinning a spinner labeled with numbers 1 through 10. Complementary events are two mutually exclusive events that together cover all possible outcomes of a single trial of an experiment. In this case, the spinner can land on only one number in a single spin.