we throw a dice 5 times,(adsbygoogle = window.adsbygoogle || []).push({});

what is the probability of throwing the same number exactly 3 times?

i tried using all kinds of techuniques but cant seem to get this,

if A is a given number and X is any other number

A* A* A* X* X

6* 1* 1* 5* 5 =150

150/6^5=0.0192901

but that doesnt take into account any other options, for example A*X*A*X*A, X*A*A*X*A ......

so then i thought since i can either roll a given number or not, and the possibility that i will is 1/6

X~B(5,1/6)

P(X=3)=5C3*(1/6)^3*(5/6)^2=0.03215

the correct answer is 0.19,- which makes me think my 1st attempt was correct and there are 10 options, but how do i find these options and also, why is the binomial incorrect??

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# Homework Help: What is the probability of throwing the same number exactly 3 times?

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