Question

Alex is throwing darts at a dartboard. The probability a given dart hits the bullseye is...

Alex is throwing darts at a dartboard. The probability a given dart hits the bullseye is 0.2. Assume each dart through is independent.
(a) If Alex throws 5 darts at the dartboard, what is the probability she hits the bullseye exactly once? (Don’t forget to account for orderings!)
(b) If Alex throws 5 darts at the dartboard, what is the probability she hits the bullseye at least once?
(c) If Alex throws n darts at the dartboard, what is the probability she hits the bullseye at least once?
(d) How many darts must Alex throw if there is at least a 99% chance Alex hits the bullseye at least once?

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