A fair number cube, numbered 1 though 6 is rolled 200 times. About how many times can it be expected to on the number 4?

I tried to do 200 divided by 6 which is 33.3333333333 and then I did 100 divided by 6, so then I tried to use a ratio, but I could find one.

prob(getting a 4 ) = 1/6

so in 200 tries, number of times a 4 should show up
= (1/6)(200) = 33 1/3

It said "about" how many times, so I would say
about 33 times

To calculate the expected number of times the number 4 will appear when rolling a fair number cube, you need to consider the probability of getting a 4 on each roll.

In this case, you have a fair number cube with six equally likely outcomes (numbers 1 to 6). Since each outcome has the same probability, the probability of rolling a 4 is 1/6.

To find the expected number, you can multiply the probability of getting a 4 on each roll (1/6) by the total number of rolls (200).

Expected number of occurrences = (probability of getting a 4) x (total number of rolls)
= (1/6) x 200
= 33.33

So, you can expect the number 4 to appear approximately 33 times when rolling the fair number cube 200 times.