Question

	Gender	Gender
Preference	Female	Male	Total
Coke	85	135	220
Pepsi	120	80	200
Neither/Unsure	65	15	80
Total	270	230	500

1. If an American is selected at random, what is the probability that the individual is male or prefers Pepsi?
   1. 0.43
   2. 0.16
   3. 0.70
   4. 0.35
2. If a male respondent is asked which soda he prefers, what is the probability that he will say Coke?
   1. 0.84
   2. 0.16
   3. 0.58
   4. 0.35

Answer 1

Answer - 1: P(Male or prefers Pepsi)

= P(Male) + P(Pepsi) - P(Both)

= 230/500 + 200/500 - 80/500

= 350/500

= 0.70

Option C is correct.

Answer - 2: P(Coke | Male)

= P(Coke and Male) / P(Male)

= 135/230

= 0.58

Option C is correct.