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In a classroom of 64 students, students are randomly split into groups of 4. What is...

In a classroom of 64 students, students are randomly split into groups of 4. What is the probability that any two students are in the same group?
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Answer #1

Doubt in this then comment below...i will explain you..

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64 students divided into 4 groups.. so each group contains 16 students....

Now we focus on two students A and B .. we find the probability that these are in same group.

So , A is in 1st group .. probability is 16/64 ...

Now B is in this group then probability is 15/63 ...

So probability of A andBboth are in 1st group. = (16/64)*(15/63) ...

Now ,like this we have 4 groups to be placeA and B ...

So ...

Probability = 4*(16/64)*(15/63) = 15/63 = 5/21

Answer = 5/21 ....  

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