Question

If you roll a die twice, what is the probability of getting a number less than 5 on both rolls?

Answer 1

Answer:  4/9

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Explanation:

The outcomes of the die are {1,2,3,4,5,6} which is the sample space.

The values less than 5 are {1,2,3,4}

There are 4 values we want out of 6 total, so 4/6 = 2/3 is the probability of rolling something less than 5 on a single die.

The probability of getting two such values in a row is (2/3)*(2/3) = 4/9

Each die roll is independent of any other.