A six-sided number cube is to be rolled 30 times. How many times do you expect to roll on an even number?(1 point)

1 answer

A six-sided number cube has the numbers 1 through 6. The even numbers on the cube are 2, 4, and 6.

Since there are 3 even numbers out of a total of 6 numbers, the probability of rolling an even number is:

\[ P(\text{even number}) = \frac{3}{6} = \frac{1}{2} \]

If the cube is rolled 30 times, the expected number of times an even number will be rolled can be calculated by multiplying the total number of rolls by the probability of rolling an even number:

\[ \text{Expected number of even rolls} = 30 \times \frac{1}{2} = 15 \]

Therefore, you can expect to roll an even number about 15 times.