When playing roulette at a casino, a gambler is trying to decide whether to bet $20 on the number 33 or to bet $20 that the outcome is any one of the three possibilities 00, 0, or 1. The gambler knows that the expected value of the $20 bet for a single number is -$1.05. For the $20 bet that the outcome is 00, 0, or 1, there is a probability of 3/38 of making a net profit of $80 and a 35/38 probability of losing $20.
a. Find the expected value for the $20 bet that the outcome is 00, 0, or 1.
b. Which bet is better: a $20 bet on the number 33 or a $20 bet that the outcome is any one of the numbers 00, 0, or 1? Why?
a. The expected value is $ 12.1 .
(Round to the nearest cent as needed.)
b. Since the expected value of the bet on the number 33 is (1) than the expected value for the bet that the outcome is 00, 0, or 1, the bet on (2) is better.
(1) less
greater
(2) the single number
00, 0, or 1