Compute the probability that at least one male out of 1000 aged 24 years will die during the course of the year if the probability that a randomly selected 24- year old male survives the year is 0.9986.

Approach The phrase at least means “greater than or equal to,” so we wish to know the probability that 1 or 2 or 3 or . . . or 1000 males will die during the year. These events are mutually exclusive, so

Computing these probabilities would be very time consuming. However, notice that the complement of “at least one dying” is “none die”, or all 1000 survive. Use the Complement Rule to compute the probability.

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P(1 or 2 or 3 or... or 1000 die) = P(1 dies) + P(2 die) + P(3 die) + + P(1000 die)