Question

Calculate the probability of winning: Roll a standard die and then flip a coin. You win if you toss “heads” and roll a 6. Round answer to two decimals places, for example if you answer is 0.624 round to 0.62

Answer 1

The probability of landing "heads" on a coin is 1/2, and the probability of rolling a 6 is 1/6.

Using the following given, the probability of winning therefore is

$\begin{gathered} P(\text{Win})=P(\text{Heads})\cdot P(6) \\ P(\text{Win})=\frac{1}{2}\cdot\frac{1}{6} \\ P(\text{Win})=\frac{1}{12} \\ P(\text{Win})=0.083333 \end{gathered}$

Rounding to 2 decimal places, the probability of winning is 0.08.