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
|
|
|
