Question

Billy and Tommy are playing a dice game with a six-sided die. Billy needs to roll a 3 or higher to win the game. What is the probability that Billy will roll a 3 or higher?

Answer 1

0.667 is the probability that Billy will roll a 3 or higher.

Explanation:

We are given the following in the question:

E: Rolling of a six-sided die

The sample space for the given event is

S: {1, 2, 3, 4, 5, 6}

We have to find the probability that Billy will roll a 3 or higher.

`\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}`

P( roll a 3 or higher) =

`\displaystyle\frac{n(\text{ 3 or higher)}}{6} = (4)/(6) = (2)/(3) = 0.667`

Thus, 0.667 is the probability that Billy will roll a 3 or higher.