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In a single throw of three dice, find the probability of getting the same number on all the three dice
In a single throw of three dice, find the probability of getting the same number on all the three dice
CBSE | Class 11 | Exercise 33.3 | Maths | Probability | RD Sharma
In a single throw of three dice, find the probability of getting the same number on all the three dice

According to the question, three dice are rolled over.

By using the formula of probability, we get,

P (E) = favourable outcomes / total possible outcomes

So, we have to find the probability of getting the same number on all the three dice

Total number of possible outcomes is $6^3=216$

n (S) = 216

Let E be the event of getting 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

i

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