Question

PLEASE HELP!! I don't know how to do this!!!

A game spinner has four colors equally spaced: red, green, blue, and yellow. What is the probability that a single, six-sided die will land on a prime number followed by a spin of yellow or blue?

A) 1/4
B) 1/9
C) 1/12
D) 1/36

Answer 1

Remark

You have to work on the die first. You have 3 primes for sure -- 2, 3 and 5. You might wonder about 1. Most experts agree that 1 is not prime. The reason is that a prime requires exactly 2 different divisors -- one and itself. The word different eliminates 1. So the die will give a prime 3 out of 6 chances.

There are 4 colors on the spinner. Two of the four (yellow or blue) will give the correct results. So the chances of yellow or blue coming up are 2 out of 4 chances.

Result

The result of the die landing face up showing a prime is P(prime)=3/6 = 1/2

The result of getting the correct color = 2/4 = 1/2

The Probability of getting both = 1/2 * 1/2 = 1/4

Answer: A