Jyn Erso, the heroine of Rogue One: A Star Wars Story says, “We’ll take the next chance, and the next, until we win, or the chances are spent.”
Suppose there is a 90% chance of failure each time they take a chance.
Which of the following represents the best approximation for the probability for Jyn Erso to succeed, if she intends to try up to a maximum of 20 times?
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Probability of failure = ( 9 / 1 0 ) 2 0 = 0.12
Probability of success = 1 - 0.12 = 88%