In a certain algebra 2 class of 29 students, 22 of them play basketball and 12 of them play baseball. there are 9 students who play both sports. what is the probability that a student chosen randomly from the class plays basketball or baseball?

Solution:we are given that In a certain algebra 2 class of 29 students, 22 of them play basketball and 12 of them play baseball. There are 9 students who play both sports.what is the probability that a student chosen randomly from the class plays basketball or baseball?1 student out of 29 can be chosen in [tex] {29}_C_1 [/tex]ways.1 student out of 22 Basketball player can be chosen in [tex] {22}_C_1 [/tex]ways.1 student out of 12 baseball player can be chosen in [tex] {12}_C_1 [/tex]ways.1 student out of 9 player can be chosen in [tex] {9}_C_1 [/tex]ways.So Required Probability[tex] =\frac{22_C_1}{29_C_1}+ \frac{12_C_1}{29_C_1}-\frac{9_C_1}{29_C_1}=0.862\\ [/tex]