Question

Calculate P(rolling any 6's) .Calculate P(not rolling any 6s) Answer: Answer: Question 3 Team Selection A large nonprofit corporation wishes to form an executive leadership team from a group of 7 male executives and 9 female executives. The team will have 7 members. If the team members are selected randomly, find the probability of each team described below. a) Selecting 2 men and 5 women b) Selecting only Men c) Selecting 4 men and 3 womern Answer: Answer: Answer:

Answer 1

a) Total no of executive are 16 and 7 are randomly selected so, no of ways 7 can be selected as

16C7=

=11440

And 2 men out of 7 as

7C2=

=21

And if 5 out of 9 as

9C5=

=

=126. Hence probability that 2 men Nd 7 women is selected is

$\frac{126*21}{11440}=0.2312$

b) if only 7 men has to selected now

7C7=1

Hence probability of selecting only male

0.0009

C)Now if selecting 4 men and 3 womem hence by Formula

The probability caLculated as

$\frac{7C4*9 C3}{11440}=\frac{35*84}{11440}=0.257$