The college student senate is sponsoring a spring break Caribbean cruise raffle.
ID: 3323340 • Letter: T
Question
The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to be donated to the Samaritan Center for the Homeless. A local travel agency donated the cruise, valued at $2000. The students sold 2102 raffle tickets at $5 per ticket.
(a) Kevin bought thirty-nine tickets. What is the probability that Kevin will win the spring break cruise to the Caribbean? (Round your answer to five decimal places.)
What is the probability that Kevin will not win the cruise? (Round your answer to five decimal places.)
(b) Expected earnings can be found by multiplying the value of the cruise by the probability that Kevin will win. What are Kevin's expected earnings? (Round your answer to two decimal places.)
$
Is this more or less than the amount Kevin paid for the thirty-nine tickets?
How much did Kevin effectively contriute to the Samaritan Center for the Homeless? (Round your answer to two decimal places.)
$
Explanation / Answer
solution=
a) Kevin buys 39 tickets out of 2102,
so his probability of winning is 39/2102, or 0.0185537583.
The probability that he will not win is 1- 0.0185537583, or 0.9814462.
b) Kevin's expected earnings are
2000 x 0.0185537583, or $37.11Since Kevin spent 39 x 5, or $195
he effectively contributed 195 - 37.11 (his expected earnings), or $157.89 to the Samaritan Center