Subject - Mathematics:

General

MCQ - 152-8884

Question:

Two unbiased dice are thrown. The probability that the total score is > 5 is

$\frac{1}{18}$
$\frac{7}{18}$
$\frac{13}{18}$
$\frac{7}{18}$

Correct Answer: C

Explanation:

Let A denote the event of getting total score 5 A = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (4, 1)} n (A) = 10. Let S be the sample space n (S) = 6 × 6 = 36.

P (A) =

P (score > 5) = 1 – P (score ≤ 5)

= 1 – P (A)= $\frac{n(A)}{n(S)}$ = $\frac{10}{36}$ = $\frac{5}{18}$

= -1 - $\frac{5}{18}$ = $\frac{13}{18}$

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