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## Homework Statement

a fish tank contains 12 male and 12 female guppies what is the probability that at least half of male will be selected if 15 fish are randomly selected and removed from the tank??

## Homework Equations

## The Attempt at a Solution

i am tried to find the probability as following :

P(at least 6)=P(6)+P(7)+P(8)+P(9)+P(10)+P(11)+P(12)

=(12c6)(12c6)/(24c15) + (12c7)(12c5)/(24c15)+........+(12c12)(12c3)/(24c15)

it seems to be a very long solution is there any way to solve it using the distribution function