A rocket ship has a 97% chance of success. What is the probability it will be successful for 3 consecutive launches?
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You have three independent events. However, #1 must be successful (P=.97), #2 must be successful (P=.97) AND #3 must be successful. The word "and" is important: When A and B and C must all occur the probability of the combined occurrence is equal to the product of the individual events' probabilities.
In your case the combined probability is .97 x .97 x .97... just a bit over 91%
In your case the combined probability is .97 x .97 x .97... just a bit over 91%
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(97/100)*(97/100)*(97/100) = 91%
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0.97(0.97)(0.97)