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Popular Word Problems >

Nelly and Pearl are playing around with a pair of 6-sided dice. Nelly rolls one of the dice, and Pearl rolls the other.What is the probability that they will both roll a 1?

Solution

N e ll y an d P e a r l a re pl a y in g a ro u n d w i t h a p ai r o f 6 - s i d e d d i ce . N e ll y ro ll s o n e o f t h e d i ce, an d P e a r l ro ll s t h e o t h er . Wha t i s t h e p ro babi l i t y t ha t t h ey w i ll b o t h ro ll a 1 ?

Solution

\frac{1}{36}

+1

Decimal

0.02777 \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 they will both roll a 1:

1

Probability

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

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

6^{2} = 36

= \frac{1}{36}

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