You roll a die four times. What is the probability that it will show an evennumber the first three times, then a one the last time?
Question
You roll a die four times. What is the probability that it will show an even number the first three times, then a one the last time?
Solution
The probability of rolling an even number (2, 4, or 6) on a six-sided die is 1/2, because three out of the six possible outcomes are even numbers.
The probability of rolling a 1 on a six-sided die is 1/6, because one out of the six possible outcomes is a 1.
Since these are independent events, you can find the total probability by multiplying the probabilities of each individual event.
So, the probability of rolling an even number three times in a row and then rolling a 1 is (1/2) * (1/2) * (1/2) * (1/6) = 1/48.
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