Question

Randa is playing a board game. The players take turns rolling a pair of numbercubes. On her next turn, Randa must roll a 5 to win the game, but if she rollsdoubles, she gets an extra turn. If the probability of rolling a 5 is 1/9 and theprobability of rolling doubles is 1/6, what is the probability that Randa rolls eithera 5 or doubles on her next turn? Express your answer as a fraction in simplestform. *5/182/9O 1/541/4

Answer 1

The probablity of rolling a 5 is 1/9.

The probablity of rolling doubles is 1/6.

The probablity that Randa rolles either 5 or doubles on her next turn can be determined as,

$\begin{gathered} P(5\text{ or doubles)=P(5)+P(doubles)} \\ =\frac{1}{9}+\frac{1}{6} \\ =\frac{2+3}{18} \\ =\frac{5}{18} \end{gathered}$

Thus, 5/18 is the required solution.