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
Algebra ->
Probability-and-statistics
-> 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
Log On
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.
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.
========================
(