A fair die is rolled two times. What is the probability that both rolls are 3?

The probability that an event will repeat its self for independent events is given by the square of the probability of the event occurring

Reason:

Number of faces in a fair die = 6 faces

Numbers on the faces of a fair die = 1, 2, 3, 4, 5, and 6

Number of 3s on the face of a fair die = 1

Probability that a roll of a fair die gives the face of 3, P(3) =

The probability that two rolls of a fair die are both, is given as follows;

P(Both 3) = P(3 and 3) = P(3 ∩ 3)

The and condition of two independent probabilities is the product of the two probabilities, therefore;

P(3 ∩ 3) =

The probability that both rolls are 3s P(Both 3s) =

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1/36

Step-by-step explanation:

For each roll, the probability that the die rolls a 3 is 1/6

So, for it to happen on both dice is 1/6 * 1/6 = 1/36

6 on both sides and twelve on the top and the bottom

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