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Question -

In a single throw of three dice, find the probability of getting the same number on all the three dice



Answer -

Given: Three dice arerolled over.

By using the formula,

P (E) = favourableoutcomes / total possible outcomes

So, we now have todetermine the probability of getting the same number on all the three dice

Total number ofpossible outcomes is 63=216

n (S) = 216

Let E be the event ofgetting same number on all the three dice

E = {(1,1,1) (2,2,2)(3,3,3) (4,4,4) (5,5,5) (6,6,6)}

n (E) = 6

P (E) = n (E) / n (S)

= 6 / 216

= 1/36

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