Question

There is a spinner with 14 equal areas, numbered 1 through 14. If the spinner is spun one time, what is the probability that the result is a multiple of 4 or a multiple of 6?

Answer 1

The probability is 3/14. There are 2 multiples of 4 in 14, which is 8 and 12. There is only 1 multiple of 6 in 14 which is 12. 1+2=3. It is possible outcomes over total outcomes so 3/14.

Answer 2

Answer: $\frac{2}{7}$

Step-by-step explanation:

Given: Total  numbers on spinner = 14

Multiples of 4 on the spinner =4,8,12

Multiples of 6 on the spinner = 6,12

Therefore, Multiples of 4 and 6 on the spinner =4,8,6,12

Now, the probability that the result is a multiple of 4 or a multiple of 6 is given by :-

$\text{P(multiple of 4 or 6 )}=\frac{\text{Number of multiples of 4 or 6}}{\text{Total multiples}}\\\\=\frac{4}{14}=\frac{2}{7}$

Hence,  the probability that the result is a multiple of 4 or a multiple of 6 =$\frac{2}{7}$