Dan rolls a fair dice 24 times.
How many times would Dan expect to roll an even number?

Assuming a fair, six sided die, 4 would be expected to come up in one sixth of the trials, so 4 times in 24 rolls.

More formally:

Let X be the number of 4s rolled in 24 independent rolls of a fair six sided die. X is then distributed binomially with parameters n and p.

p = Probability of rolling a 4 = 1/6

n = Number of trials = 24

E [X] = np (by the properties of Binomial distribution)

E [X] = 4

10000

step-by-step explanation: divide by 2,

47 - 90 = 43

43 - 180 = x

x = 137