How many times can you expect to roll a 4 if you rolls a fair number cube 120 times? (A fair number cube has 6 sides numbered 1 through 6. If a 4 appears 1 time out of 6 then how many times would it appear out of a 120?)

20times

Step-by-step explanation:

A fair of die has 6sides.

If 4 appears 'once' out of a 6.

Then, 4 will appear 2times out of 12 i. e

6faces = 1time

12faces = 2times.

But remember that we want to know how many times 4 will appear out of a 120

120faces = x times

Since 6faces = 1time (i. e 4 occur one time in six faces)

cross multiplying:

6 * x = 120

x = 120/6

x = 20times

This means 4 will appear 20times out of a 120