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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