Question

Assume that the playbook contains 9 pasing plays and 11 running plays. The coach randomly selects 8 plays from the playbook. What is the probability that the coach selects at least 2 passing plays and at least 3 running plays?

Answer 1

total no .of plays=20

Answer 2

yes

Answer 3

now atleast 2 means 2 or more than 2

Answer 4

now out of 20 he selects 8

Answer 5

so now we can have the combinations

Answer 6

2 passing,6 running
3 passing,5 running
4 passing,4 running
5 passing,3 running

Answer 7

so 9c2*11c6+9c3*11c5+9c4*11c4+9c5*11c3

Answer 8

now calculate and get the answer

Answer 9

@ pulsified did you understand?

Answer 10

@Pulsified333

Answer 11

so is the answer 117810/125970

Answer 12

yeah