# In a Single Throw of Two Dice, Find the Probability Of: a Number Less than 3 on Each Dice - Mathematics

In a single throw of two dice, find the probability of:

a number less than 3 on each dice

#### Solution

The  number of possible outcomes is 6xx6=36,  We write them as given below:

1,11,21,,31,41,51,6

2,12,22,32,42,52,6

3,13,23,33,43,53,6

4,14,24,34,44,54,6

5,15,25,35,45,55,6

6,16,26,36,46,56,6

n(s)=36

E= Event of getting a number less than 3 on eacch dice

={(1,1))(1,2)(2,1)(2,2)}

n(E)=

Probability of getting a number less than 3 on each dice = (n(E))/(n(s))=4/36=1/9

Concept: Type of Event - Complementry
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#### APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 25 Probability
Exercise 25 (B) | Q 14.2 | Page 393