Question

In a single throw of two dice what is the probabibilty of not getting the same no. On both the dice

Answer 1

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When two dice are throw then the total outcomes is 36 .

Hence,there are :

n(S) = 36

In which, there are 6 possible number to the same on both sides.

i.e. (1,1) , (2,2) ,(3,3), (4,4), (5,5), (6,6)

So there are ,,

36 - 6 = 30 outcomes of getting no same number on both sides.

Let A be the event of getting no same number on both sides.

n(A) = 30

Therefore,

Probability of getting no same number on both sides,

$p (A) = \frac{n(A)}{n(S)} \\ \\ p(A) = \frac{30}{36} \\ \\ p(A) = \frac{5}{6}$

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