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) 17
C) $\frac { 1 } { 3 }$
D) $\frac { 2 } { 3 }$

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) 17
C) $\frac { 1 } { 3 }$
D) $\frac { 2 } { 3 }$

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 in both categories, so we don't double-count them. Adding the unique counts together gives us 10 (even numbers) + 4 (additional unique multiples of 3) = 14. Therefore, the probability is 14 out of 21, which simplifies to $\frac{2}{3}$.

Find the Probability 109\frac { 10 } { 9 }910​ B) 17 C)

Find the Probability $\frac { 10 } { 9 }$ B) 17
C)