SOLUTION: Need help tutors ! Thanks A math class consists of 22 students, 12 female and 10 male. Three students are selected at random, one at a time, to participate in a probability expe

Question 1050920: Need help tutors ! Thanks
A math class consists of 22 students, 12 female and 10 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement).
What is the probability that a female is selected, then two males?
What is the probability that two females are selected, then one male?What is the probability that three males are selected?
What is the probability that three females are selected?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
For the first pick, with 12 females out of 22 students,
the probability of picking one female is .
After that, for the second pick, with 10 males out of 21 available students,
the probability of picking one male is .
After that second pick, you are left with students, including males.
So, for the third pick, with 9 males left out of 20 available students,
the probability of picking one male is .
The probability that a female is selected, then two males is

For the first pick, with 12 females out of 22 students,
the probability of picking one female is .
After that, for the second pick, with 11 females out of 21 available students,
the probability of picking another female is .
After that second pick, you are left with students, including 10 males.
So, for the third pick, with 10 males left out of 20 available students,
the probability of picking one male is .
Then, the probability that two females are selected first, then one male is
.

For the first pick, with 10 males out of 22 students,
the probability of picking one female is .
After that, you are left with with 9 males out of 21 available students,
and then the probability of picking another male is .
After that second pick, you are left with students, including males.
So, for the third pick, with 8 males left out of 20 available students,
the probability of picking one more male is .
Then, the probability that three males are selected is
.

For the first pick, with 12 females out of 22 students,
the probability of picking one female is .
After that, for the second pick, with females out of students,
the probability of picking another female is .
After that second pick, you are left with students, including females.
So, for the third pick, with 10 females left out of 20 available students,
the probability of picking one more female is .
So, the probability that three females are selected is

RELATED QUESTIONS
A math class consists of 22 students, 12 female and 10 male. Three students are selected... (answered by ewatrrr)

Help Me Please A math class consists of 40 students, 23 female and 17 male. Three... (answered by solver91311)

A science class consists of 40 students, 18 female and 22 male. Three students are... (answered by ikleyn)

A math class consists of 40 students, 23 female and 17 male. Three students are selected... (answered by ewatrrr)

A class of twenty students consists of eight males and twelve females. Two students are... (answered by longjonsilver)

Two students are selected at random from a class that consists of 13 males and 7 females. (answered by tommyt3rd)

A study group consisting of 4 students need to be formed from a class with 10 female... (answered by ewatrrr)

a) A Numeracy 2 resit group consists of 22 male and 18 female students. What is the... (answered by rothauserc)

You are setting up a tutoring scheme and have 23 volunteer tutors, 8 of whom are men.... (answered by greenestamps)