SOLUTION: (a) A class has 10 boys and 5 girls. Three students are selected at random one after another. Find the probability that (i) first two are boys and third is girl (ii) first and thi

Question 752817: (a) A class has 10 boys and 5 girls. Three students are selected at random one after another. Find the probability that (i) first two are boys and third is girl (ii) first and third are of same sex and the second is of opposite sex.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(a) A class has 10 boys and 5 girls. Three students are selected at random one after another.
Find the probability that (i) first two are boys and third is girl
P(bbg) = (10/15)(9/14)(5/13)
----------------------------------------
(ii) first and third are of same sex and the second is of opposite sex.
P(bgb) + P(gbg) = (10/15)(5/14)(9/13) + (5/15)(10/14)(4/13)
========================
cheers,
Stan H.
========================
RELATED QUESTIONS
a classroom has 10 boys and 5 girls; three students are selected from the class at random (answered by stanbon)

A class has 10 boys and 5 girls. Three students are selected at random one after another. (answered by stanbon)

Please help me solve this question: A class consists of 4 boys and 3 girls. The students... (answered by ewatrrr)

A class has 12 boys and 4 girls. If three students are selected at random from the... (answered by ewatrrr)

in a class of 10 students, there are 4 boys and 6 girls. If a committee of 5 students is... (answered by stanbon)

Three students are selected, one after anoth er, from a class of 10 boys and 5 girls.... (answered by stanbon)

Two students are to be selected at random from a class with 10 girls and 12 boys. What is (answered by ikleyn)

Two students are selected at random from a class of 8 boys and 9 girls. what is the... (answered by checkley79)

Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be... (answered by lynnlo)