Middle Years

A standard six-sided die is rolled twice. Find the probability of:

a

rolling a $3$3 and a $6$6 in any order.

b

rolling a $3$3 and * then* a $6$6

Easy

2min

Five ordinary dice are rolled. What is the probability that the results are all less than $5$5?

Easy

2min

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.

Medium

2min

Neville has found that when playing chess against the computer, he wins $\frac{1}{3}$13 of the time.

Medium

5min

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