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Popular Word Problems >

What is the probability of throwing a total of 11 with two dice if the digit on first die is 5?

Solution

Wha t i s t h e p ro babi l i t y o f t h ro w in g a t o t a l o f 11 w i t h tw o d i ce i f t h e d i g i t o n f i rs t d i e i s 5 ?

Solution

\frac{1}{18}

+1

Decimal

0.05555 \dots

Solution steps

The possible outcomes when two dice are rolled are

6 \cdot 6

Therefore, the number of possible outcomes:

6^{2}

Find the number of favorable outcomes of throwing a total of 11 with 2 dice:

2

Probability

= \frac{number of favorable outcomes}{total number of outcomes}

= \frac{2}{6 ^{2}}

\frac{2}{6 ^{2}} = \frac{1}{18}

= \frac{1}{18}

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