Question

A number cube is rolled and a coln is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 4 and thecoin toss is talls?Write your answer as a fraction in simplest form.

Answer 1

1/6

Step-by-step explanation:

The number cube has 6 faces (1,2,3,4,5, and 6)

Numbers greater than 4 = {5,6}

`P(\text{number rolled is greater than 4)}=(2)/(6)=(1)/(3)`

A coin has two faces (Head and Tail):

`P(\text{coin toss is tails)}=(1)/(2)`

Therefore, the probability that the number rolled is greater than 4 and the coin toss is tails:

`\begin{gathered} =(1)/(3)*(1)/(2) \\ =(1)/(6) \end{gathered}`