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Question
suppose you spin the spinner below 5 times. which probabilities do you need in order to calculate p(getting a on 2 or fewer spins)? p(0 successes) p(1 success) p(2 successes) p(3 successes) p(4 successes) p(5 successes) done
Step1: Define the event
We want to find $P(\text{getting A on 2 or fewer spins})$ when spinning 5 times. This is the sum of the probabilities of getting 0, 1, or 2 successes (where a success is getting an A).
Step2: Identify required probabilities
We need the probabilities of getting 0 successes ($P(0\text{ successes})$), 1 success ($P(1\text{ success})$) and 2 successes ($P(2\text{ successes})$).
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$P(0\text{ successes}), P(1\text{ success}), P(2\text{ successes})$