A number cube with the numbers 1, 2, 3, 4, 5, and 6 is rolled 1000 times. About how many times would it be expected that a number less than 5 is rolled?

The numbers less than 5 are expected to occur 666 times ...

Step-by-step explanation:

First of all, we have to find the probability of rolling a number less than 5 in a single trial

The numbers from 1 to 4 are less than 5 so the probability of rolling a number less than 4 is: 4/6 = 2/3

So,

Expected value = Probability * Number of Trials

= 2/3 * 1000

= 2000/3

= 666 times ...