roll a dice 60 times what the probability of rolling, a 4

Question

suppose you roll a die 60 times. predict how many times you will roll each of the following.

Answer 1

i think you are asking what is the probability of rolling one four in sixty rolls....

if so, use the binomial distribution.

rolls = 60

chance of getting a 4 on a 6 sided die = 1/6

P(4) = {(60!)/(1!*59!)}*(1/6)*(5/6)^59 = 0.0002 = 0.02%

Answer 2

if you are asking the probability of rolling at least one 4 in sixty rolls, then try this:

1-(5/6)^60 = 0.9996 = 99.98%

obvious  out of sixty rolls, it would be pretty likely that you would be able to roll at least one four, but very unlikely that you would roll only one four.  sorry, the question is a little confusing.