Probability Chapter Review

p363 #2, 3, 6, 10, 13-17, 19-24

 

2. a) 102/180 = 17/30              b) 72/180 = 2/5                        c) 72/102 = 12/17

 

3. 5 x 6 x 7 x 10 x 8 = 16800

 

6. a)

b)  

 

10. P(Distance|Male) = P(Distance and Male) / P(Male) = (5/38)/(16/38)= 5/16

 

13. a) comb, 10            b) perm, 30                  c) perm, 12                  d) comb, 28

 

14. ()() + ()() = 4 + 4 = 8

 

15. a)                     b)

 

16.  .  We have to divide by five because they could rotate around the table that many ways.

 

17. ()() = 103950.  (12 choose 4 tapes AND 10 choose 4 CDs.)

 

19.

 

20.

 

21.

 

22.  = 0.2.  4 choose 3 correct fitting out of 6 choose 3 total fittings.

 

23.  = 0.16.  7 choose 3 Leaf’s fans out of 12 choose 3 total students.

 

24.  a) = 0.00055                       b)  = 0.012