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A fair coin is tossed, and a spinner that stops on red with probability 0.3 is spun…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A fair coin is tossed, and a spinner that stops on red with probability is spun. The coin and the spinner do not affect each other. Find the probability of a head and red, the probability of a tail and not red, and the probability of a head or red.
Need a reminder? The key ideaShow
Events are independent when one does not change the chance of the other. Then , and .
The worked solution
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. Head and red. .
Step 2. Tail and not red. .
Step 3. Head or red. .
Answer: , and .
Check. Head or red is the complement of tail and not red: .
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