An unbiased die with faces marked 1, 2, 2, 3, 3, 3 is rolled twice. If X is the total score on the two rolls, what is P(X = 4), as a fraction out of 36?

A9/36

B12/36

C6/36

D10/36

Explanation

P(X=4) comes from the outcome pairs (1,3), (2,2), (3,1): P = (1/6)(3/6) + (2/6)(2/6) + (3/6)(1/6) = 3/36 + 4/36 + 3/36 = 10/36.

Derived from ZIMSEC Statistics Paper 2, November 2018, Q4

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