A die is rolled twice. Find the probability that: 5 Will not come… - Vidyadip

Question

A die is rolled twice. Find the probability that:

5 Will not come up either time.

✓

Answer

Two dice are thrown simultaneouslyTotal number of outcomes = 66 = 36
Favourable cases are:

(1, 1), (1, 2), (1, 3), (1, 4), (1, 6)

(2, 1), (2, 2), (2, 3), (2, 4), (2, 6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 6)

= 25
$\therefore\ $Probability that 5 will not come upon either die
$=\frac{25}{36}$

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