EXERCISES Probability and Decision making
1. You buy a $1 ticket in a raffle. There are 1,000 tickets sold. Tickets are selected out of one of those big round drums at random. There are 3 prizes: first prize is $500; second prize is $200; third prize is $100. What’s the expected value of your ticket?
the probability distribution table be:-
winning amount (X) | P(X) | reason |
500-1 = 499 | 1/1000 | 1 ticket is of $ 500 prize |
200-1 = 199 | 1/1000 | 1 ticket is of $ 200 prize |
100-1 = 99 | 1/1000 | 1 ticket is of $ 100 prize |
0-1=-1 | 997/1000 | (1000-1-1-1) = 997 tickets are of no prize |
the expected value of ticket:-
dollars.
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