A certain bag contains 60 balls — 22 white, 18 green, 11 yellow, 5 red, and 4 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?This question may seem complicated because there are so many different colors of balls. However, it's actually relatively simple because, to find the probability asked for, we can separate the balls into just two groups:
Red or Purple
Neither Red nor Purple
Thus, we can use the following to find the answer:
Total: 60
Neither Red nor Purple: 22 + 18 + 11 = 51
Probability of selecting neither red nor purple:
\(\frac{Favorable}{Total} = \frac{51}{60} = \frac{17}{20} = 0.85\)
A. 0.09
B. 0.15
C. 0.54
D. 0.85
E. 0.91Correct answer: D