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Popular Word Problems >

in a throw of two dice, what is the probability of obtaining a total of 11 or 12

Solution

in a t h ro w o f tw o d i ce, w ha t i s t h e p ro babi l i t y o f o b t ainin g a t o t a l o f 11 or 12

Solution

\frac{1}{18}

+1

Decimal

0.05555 \dots

Solution steps

Find the probability of obtaining a total of 11:

\frac{1}{18}

Find the probability of 12:

0

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}{18} + 0

Apply rule:

a + 0 = a

= \frac{1}{18}

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