Question

A die is rolled twice.find the probability that 4 will come up exactly one time.

Answer 1

       

1 die is rolled twice. As a die has 6 numbers as faces, the no. of total outcomes is 6² = 36.

And, there are 10 favourable possibilities in which 4 comes up exactly one time:

(4, 1)

(4, 2)

(4, 3)

(4, 5)

(4, 6)

(1, 4)

(2, 4)

(3, 4)

(5, 4)

(6, 4)

The no. at left is the outcome at first roll, and that at right is the outcome at second roll.

∴ Probability = 10/36 = 5/18

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