# Answer to Question #26808 in Statistics and Probability for Abhinav

Question #26808

What is the probability of rolling exactly two sixes in 6 rolls of a die?

Solution by Binomial Probability function is

(6C2)*((1/6)^2)*((5/6)^4) = (15*((5)^2))/(6^6)

But by basic probability understanding

Probability = successful outcome/ total possible out come

So that way the probability should be 15/ (6^6)

I know that second calculation is giving the right answer, but some how not convinced on why it is wrong as I don’t see approach being wrong.

Can someone help me understand why second approach is wrong?

Solution by Binomial Probability function is

(6C2)*((1/6)^2)*((5/6)^4) = (15*((5)^2))/(6^6)

But by basic probability understanding

Probability = successful outcome/ total possible out come

So that way the probability should be 15/ (6^6)

I know that second calculation is giving the right answer, but some how not convinced on why it is wrong as I don’t see approach being wrong.

Can someone help me understand why second approach is wrong?

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