Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A lucky dip at a school fair has tickets. The probability of not winning a prize is . How many tickets win a prize?
The complement of is . Every outcome favours exactly one of them, so and . When an event is hard to count, count its complement.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Winning. .
Step 2. Count. tickets.
Step 3. Check. do not win.
Answer: tickets win a prize.
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