Question

A spinner with 8 equal sections labeled 1, 2, 3, 4, 5, 6, 7, 8. the spinner above is used in a game. what is the theoretical probability of the given event with one spin? p(a multiple of 3) a. three-fourths c. startfraction 3 over 8 endfraction b. one-fourth d. 0

Answer 1

The theoretical probability of spinning a multiple of 3 on a spinner with 8 sections is 1/4, as there are 2 multiples of 3 (3 and 6) out of 8 possible outcomes.

Step-by-step explanation:

The theoretical probability of landing on a multiple of 3 when spinning a spinner with 8 equal sections labeled from 1 to 8 is found by dividing the number of favorable outcomes by the number of possible outcomes. In this case, the multiples of 3 are 3 and 6. There are two multiples of 3 on the spinner, so the number of favorable outcomes is 2.

The number of possible outcomes is 8, as there are 8 sections on the spinner. So, the theoretical probability (P) of spinning a multiple of 3 is:

P(a multiple of 3) = Favorable outcomes / Possible outcomes = 2/8 = 1/4

Therefore, the correct answer is b. one-fourth.