Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A number is chosen at random from to . Find, as decimals, the probability that it is
With equally likely outcomes, . Every probability lies from (impossible) to (sure). The probabilities of all the elementary events add up to . For unequal sectors, a sector's chance is its angle out of .
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. (a) : numbers. .
Step 2. (b) : numbers. .
Step 3. (c) : numbers. .
Answer: , and .
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