i think u mean....
3/28x3/10+15/28x4/10+10/28x5/10
=17/40
An urn A contains 3 white and 5 red balls and another one B has 5 white and 3 red balls.2 balls are transferred from A to B and then 1 is drawn from B.What is the probability that it is red?
easy one but i 've a small doubt
prob of sending 2 whites
3/28x3/7+15/28x4/7+10/28x5/7
(9+60+50)/(28x7)
=17/28
i think u mean....
3/28x3/10+15/28x4/10+10/28x5/10
=17/40
but why 5C1*3C1/8C2=15/28
but not (5C1/8C1)*(3C1/8C1)=15/64
because we are drawing 2 balls!
if you do that then there will be four cases
WR
RW
RR
WW
but transferring two balls can mean just trasferring one ball and then another ball....so y not WR and RW
but while we are picking them up...it must be one after another(without replacement)
when we are picking it up...and selected one of the balls say with right hand then we can not choose that ball as the second one with left hand....no matter we r picking it up simultenously with left and right hand maybe