A game at a casino involves rolling a die, if the outcome is odd, the player has to spin a wheel with numbers 1 - 100. If the number is also odd and the initial amount that the player bet was odd,...

A game at a casino involves rolling a die, if the outcome is odd, the player has to spin a wheel with numbers 1 - 100. If the number is also odd and the initial amount that the player bet was odd, he gets a million dollars. What is the probability of a person winning a million dollars.

Asked on by timw996

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The game at the casino involves the client betting any amount. He then has to roll a die and if the outcome is odd, he has to spin a wheel with numbers from 1 to 100. If the initial amount placed by the client was odd and the number on the wheel is also odd he wins the million dollars.

Assume the amount bet by the player is a whole number. There is a 0.5 probability that it is odd. When the die is rolled, the probability of the outcome being odd is again 1/2. When the wheel is rolled there is a 0.5 probability that it is odd. The probability that all the conditions required to win the million dollars are fulfilled is (1/2)*(1/2)*(1/2) = 1/8

There is a probability of 1/8 that the player wins a million dollars.

(This is a very high probability; if a casino were to have such a game it is highly likely that it goes bankrupt the day it opens!)

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