A standard six-sided die is rolled twice. Find the probability of:
rolling a $3$3 and a $6$6 in any order.
rolling a $3$3 and then a $6$6
Five ordinary dice are rolled. What is the probability that the results are all less than $5$5?
Mr and Mrs Smith are starting a family.
When having each child, they assume that having a girl is just as likely as having a boy.
Neville has found that when playing chess against the computer, he wins $\frac{1}{3}$13 of the time.