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Popular Word Problems >

a pair of dice is rolled. What is the probability of rolling the sum of 10 or 11?

Solution

a p ai r o f d i ce i s ro ll e d . Wha t i s t h e p ro babi l i t y o f ro ll in g t h e s u m o f 10 or 11 ?

Solution

\frac{5}{36}

+1

Decimal

0.13888 \dots

Solution steps

Find the probability of rolling the sum of 10:

\frac{1}{12}

Find the probability of the sum 11:

\frac{1}{18}

Since the events are disjoint, Use the formula

P (X_{1} \lor X_{2} \lor \dots \lor X_{k}) = P (X_{1}) + P (X_{2}) + \dots + P (X_{k})

= \frac{1}{12} + \frac{1}{18}

\frac{1}{12} + \frac{1}{18} = \frac{5}{36}

= \frac{5}{36}

Popular Examples

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