Question

Jesse is playing a game with a number cube with faces numbered 1 through 6. What is the probability of rolling a number that is even and a multiple of 3?

Answer 1

The probability of rolling a number that is even and a multiple of 3 is
`(1)/(6)`

Explanation:

The total possible outcomes of cube = { 1, 2, 3 , 4 , 5 , 6}

Now, let E: Event of getting an even number and a multiple of 3

So, out of all the outcomes, {6) is the ONLY possible favorable outcome.

`\textrm{P(E)}  =\frac{\textrm{Number of favorable outcomes }}{\textrm{Total number of outcomes}}`

or,
`P(E) = (1)/(6)`

Hence, the probability of rolling a number that is even and a multiple of 3 is
`(1)/(6)`