Find the probability.
-A spinner has 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 probability.
-A spinner has 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

The even numbers between 1 and 15 are 2, 4, 6, 8, 10, 12, and 14, giving us 7 options. The multiples of 3 between 1 and 15 are 3, 6, 9, 12, and 15, giving us 5 options. However, 6 and 12 are both even and multiples of 3, so they are counted twice if we simply add the options. To avoid double-counting, we subtract the duplicates, giving us 7 (even numbers) + 5 (multiples of 3) - 2 (duplicates) = 10 unique numbers that are either even or multiples of 3 out of 15. Therefore, the probability is $ \frac{10}{15} = \frac{2}{3} $.

Find the Probability 23\frac { 2 } { 3 }32​ B) 13\frac { 1 } { 3 }31​

Find the Probability $\frac { 2 } { 3 }$ B) $\frac { 1 } { 3 }$