Question

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?

Answer 1

Answer:

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