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(i)
So P(X=0) means when no blue is taken,
it will be
7/1o x 6/9 x 5/8 x 4/7 = 1/6
first 7 orange from 10 total, then 6 from 9 total (because one is taken) etc..
P(X=1)
(7x6x5x3) / (10x9x8x7) x 4 = 1/2
we will take 3 from orange so first 7 then 6 then 5 left, for blue we take once so only 3
down is total number, that is, 10 then 9 , 8 ,7
x4 because blue can be taken first second third or fourth
(ii)
for 0 we know 1/6
for 1 we know 1/2
for 2 it will be 4C2 x (3x2x7x6) / (10x9x8x7) = 3/10 [i take 4 combine 2 to get how many ways can we get 2 blues]
for 3 it will be 4C3 x (3x2x1x7) / (10x9x8x7) = 1/30
X=x..... || 0 || 1 || 2 |||| 3 |
P(X=x) |1/6|1/2|3/10| 1/30|
Thanks a lot PhyZac !!That was really helpful....May you pass with excellent grades .Ameen.I also posted a question in Physics thread any help will be highly appreciated