Question

A coin is tossed and a six sided die numbered 1 through 6 is rolled. Find the probability of tossing a head and then rolling a number greater then 4. Round to three decimal places

Answer 1

`\begin{gathered} \text{The sample space for a coin is 2} \\ S=(H,T) \\ \text{Thus, probability of tossing a head is:} \\ Pr(H)=(1)/(2) \end{gathered}`
`\begin{gathered} \text{The sample space for a die is 6} \\ S=(1,2,3,4,5,6) \\ \text{Thus, the probability of rolling a number greater than 4 is:} \\ Pr(>4)=(2)/(6)=(1)/(3) \end{gathered}`

Hence, the probability of tossing a head and then rolling a number greater that 4 is:

`\begin{gathered} (1)/(2)*(1)/(3) \\ \Rightarrow(1)/(6) \\ \Rightarrow0.167 \end{gathered}`