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6 October, 01:44

The contingency table below gives the counts of students by activities and gender. Band Sports Debate Total Male 105 320 7 432 Female 105 160 14 279 Total 210 480 21 711 If a student is randomly selected, what is the probability that a student is female or plays sports?

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  1. 6 October, 05:09
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    599/711

    Step-by-step explanation:

    Band Sports Debate Total

    Male 105 320 7 432

    Female 105 160 14 279

    Total 210 480 21 711

    P (female or plays sports)

    We want the probability that they are female or play sports, but we cannot double count the female sports players, so we subtract them

    P (female) + P (sports) - (female and sports)

    female/total + sports/total - female sports / total

    279/711 + 480/711 - 160/711

    599/711
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