Age Age Gender Under $40$ $40$ or older Total Male $12$ $2$ $14$ Female $8$ $3$ $11$ Total $20$ $5$ $25$ The table above shows the distribution of age and gender for $25$ people who entered a contest. If the contest winner will be selected at random, what is the probability that the winner will be either a female under age $40$ or a male age $40$ or older?

Using the addition rule of probability for mutually exclusive events, add the number of females under 40 to the number of males 40 or older. From the table, there are 8 females under 40 and 2 males aged 40 or older, giving 8 + 2 = 10 favorable outcomes. Since the total number of people who entered the contest is 25, the probability is 10/25.

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