Slot Machine A slot machine has three wheels. Each wheel has positions: a bar and the digits , , ,…, . When the handle is pulled, the three wheels spin independently before coming to rest. Find the probability that the wheels stop on the following positions.
(a) Three bars
(b) The same number on each wheel
(c) At least one bar
The probability that the wheels will stop on three bars.
The slot machine has three wheels and each wheel has positions: a bar and digits . The wheels spin independently.
Let be the sample space and all outcomes are equally likely. The probability of an event denoted by is,
The probability of intersection of independent events and is,
Let be the event when the first wheel stops on a bar, be the event that the second wheel stops on the bar, and the third wheels stops on the bar
The probability that the wheels stop on the same number on each wheel.
The probability that the wheels stop on at least one bar.
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