Question

Chet is applying to both NYPD and CSI. The probability that he gets into NYPD is 0.6. The probability that he gets into CSI is 0.7. The probability that he gets into both is 0.4. What is the probability that he gets in to only NYPD?

• 0.1
• 0.2
• 0.3
• 0.4

Answer 1

.2

Explanation:

.6-.4=.2

Answer 2

This is best done using a Venn Diagram.

Given:
Probability that he gets into NYPD is 0.60
Probability that he gets into CSI is 0.70
Probability that he gets into both is 0.40

Probability that he gets into ONLY NYPD? 0.60 - 0.40 = 0.20

Probability that he gets into ONLY CSI? 0.70 - 0.40 = 0.30