Find the probability.
-A spinner has regions numbered 1 through 21. What is the probability that the spinner will stop on an even number or a multiple of 3?
A) $\frac { 10 } { 9 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 2 } { 3 }$
D) 17

Question

Find the probability.
-A spinner has regions numbered 1 through 21. What is the probability that the spinner will stop on an even number or a multiple of 3? 
A) $\frac { 10 } { 9 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 2 } { 3 }$
D) 17

Quizplus · Accepted Answer

The even numbers between 1 and 21 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 (10 in total). The multiples of 3 are 3, 6, 9, 12, 15, 18, 21 (7 in total). However, 6, 12, and 18 are counted twice since they are both even and multiples of 3. Therefore, there are 10 + 7 - 3 = 14 unique numbers that are either even or multiples of 3 out of 21. Thus, the probability is 14/21, which simplifies to 2/3.

Find the Probability 109\frac { 10 } { 9 }910​ B) 13\frac { 1 } { 3 }31​

Find the Probability $\frac { 10 } { 9 }$ B) $\frac { 1 } { 3 }$