Question

A jar of 50 sour ball candies contains only 3 flavors. If there are 18 orange, 12 lemon, and 20 cherry sour balls, what is the probability that a randomly selected sour ball will be lemon or cherry? A. 3/125 B. 12/ 125 C. 16/25
Please show solution. Thanks in advance!

Answer 1

Option B. 12/ 125  is the answer.

Explanation

Total umber of sour ball candies = 50

Number of lemon candies = 12

Hence the probability to get a lemon candy is = 12/50

Number of cherry sour balls = 20

So, the probability to get a cherry sour ball = 20/50

So, to get the joint probability for a random selection to either get a lemon or cherry candy, we will multiply both the probabilities.

$\frac{12}{50}*\frac{20}{50}$

= $\frac{12}{125}$