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?

Question

Tamara Medina

Mathematics

5 July, 15:53

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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Answers (1)

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Yareli · Answer 1

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