A football team consists of 20 each freshmen and sophmores 1

A football team consists of 20 each freshmen and sophmores, 13 juniors, and 11 seniors. Four players are selected at random to serve as captains. Find the probability of the following.

Enter your answers as fractions or as decimals rounded to 4 decimal places.

All 4 are seniors.

P( 4 seniors)=

Solution

we will use the frequency probability that says that the probability is

the favorable cases ( in this case 4 are seniors) divided by posibles cases ( that is from 20+20+13+11 = 64)

so

P(4 seniors ) = 11C4 / 64C4 = 330/ 635,376 = 0.0005