Mark draws one card from a standard deck of 52 He receives
Mark draws one card from a standard deck of 52. He receives $ 0.30 for a club, $ 0.60 for a king and $ 0.85 for the king of clubs. How much should he pay for one draw? Answer:
Solution
There are 12 clubs that are not Kings. So, P(club) = 12/52.
There are 3 kings that are not clubs, so P(king) = 3/52.
There is 1 king of clubs, so P(K of clubs) = 1/52.
Consider:
E(x) = Expected value = Sum(xP(x))= $ 0.120192308 [ANSWER]
| x | P(x) | x P(x) |
| 0.3 | 0.230769 | 0.069231 |
| 0.6 | 0.057692 | 0.034615 |
| 0.85 | 0.019231 | 0.016346 |
