Find the Probability of One Event or a Second Event Occurring
-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) $\frac { 7 } { 9 }$
C) $\frac { 1 } { 3 }$
D) 12

Question

Quizplus · Accepted Answer

The even numbers between 1 and 15 are 2, 4, 6, 8, 10, 12, and 14, giving us 7 even numbers. The multiples of 3 between 1 and 15 are 3, 6, 9, 12, and 15, giving us 5 multiples of 3. However, 6 and 12 are counted in both categories, so we don't double-count them, leaving us with 7 + 5 - 2 = 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 of One Event or a Second Event 23\frac { 2 } { 3 }32​

Find the Probability of One Event or a Second Event $\frac { 2 } { 3 }$