Question

Statistics question about probability based on combination formula. Please see attached photo for question.
part a, i tried => ( 25C6 * 12C0) / 36C6
part b, i did 1-ans for part a.
Please assist

Answer 1

what do you have so far

Answer 2

there are 25 out of 37 cells capable of replication, so there is a 25/37 probability of capable of replication

Answer 3

part a)
\[\frac{ 25C6 * 12C0 }{ 37C6 } = 0.0761\]

Answer 4

probability of choosing 6 cells capable of replication. Since we have without replacement, it should be
(25/37)*(24/36)*(23/35)*(22/34)*(21/33)

Answer 5

That is the probability of
probability (first cell replicates & second cell replicates & third cell & fourth cell & fifth cell & sixth cell)

Answer 6

Oh ok, is it similar to an at least question?

Answer 7

we are using
P( A & B ) = P( A ) * P ( B | A )

Answer 8

the at least is a little different

Answer 9

it is easier if you approach it using complement method

Answer 10

P ( at least one is not capable of replication) = 1 - P ( all are capable of replication)

Answer 11

Ok, thanks a lot.