Find the indicated probability.
-A spinner has equal regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of 3?
A) $\frac { 2 } { 3 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 7 } { 9 }$
D) 12

Question

Find the indicated probability.
-A spinner has equal regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of 3? 
A) $\frac { 2 } { 3 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 7 } { 9 }$
D) 12

Quizplus · Accepted Answer

There are 7 even numbers (2, 4, 6, 8, 10, 12, 14) and 5 multiples of 3 (3, 6, 9, 12, 15) on the spinner. However, the number 12 is counted twice in both groups, so we need to subtract one of them to avoid double counting. Thus, the total number of favorable outcomes is 7 + 5 - 1 = 11. The total number of possible outcomes is 15 (since there are 15 equal regions). Therefore, the probability is 11/15 or simplified to 2/3.

Find the Indicated Probability 23\frac { 2 } { 3 }32​

Find the Indicated Probability $\frac { 2 } { 3 }$