SOLUTION: The Red Cross honors and recognizes its best volunteers from time to time. One of the Red Cross offices has received 12 nominations for the next group of 4 volunteers to be rec

Question 1177246: The Red Cross honors and recognizes its best volunteers from time to time.
One of the Red Cross offices has received 12 nominations for the next group
of 4 volunteers to be recognized. Eight of these 12 nominated volunteers are
females. If the Red Cross office decides to randomly select 4 names out of
these 12 nominated volunteers, find the probability that of these 4
volunteers
a. exactly 3 are females
b. exactly 1 is female
c. at most 1 is female
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!


Hi
12 people: 8F and 4M
select 4 names:  12C4 all the ways this can be done.

P(exactly 3 are females) =  (8C3)(4C1)/(12C4)

P(exactly 1 is female) = (8C1)(4C3)/(12C4)

P(at most 1 is female) = 1- P(no females) = 1 - (4C4)/(12C4)

Wish You the Best in your Studies.

RELATED QUESTIONS
Two swimmers start out from opposite ends of a swimming pool(red side and blue side).... (answered by scott8148)

A peony plant with red petals was crosssed with another plant having streaky petals. A... (answered by stanbon)

an field 58 m long and 30 m wide has two cross roads one parallel to its lenth and the... (answered by josgarithmetic,ikleyn)

A firm can produce three types of cloths A, B and C. Three kinds of wool are required... (answered by ikleyn)

Imagine that 99% of the time RE Disease (RED) causes red eyes in those with the disease,... (answered by Boreal)

I need some help getting this problem set up.I know one has to travel back and forth so... (answered by scott8148)

Two buses F and G are operated between cities I and J. One day F and G started from I and (answered by ankor@dixie-net.com)

3 missionaries and three cannibals must cross a river How do they cross using only one... (answered by Fombitz)

A ball is drawn at random from a box containing 12 yellow balls, 16 violet balls, 18 red... (answered by edjones)