The events of rolling a 3 or a 5 are disjoint, so
.
Each face has a
probability of occurring, so the event of interest occurs with probability
. The number of times a 3 or 5 is rolled across 288 trials has a binomial distribution,
.
Recall that the expected value of a binomial distribution
is
. So in this experiment, we should expect to witness approximately
instances of rolling a 3 or a 5.