PROBABILITY

• All possible outcomes of throwing 2 dice, �Game of chance and Playing Cards

(1,1),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

(1,2),

(1,3),

(1,4),

(1,5),

(1,6),

Number of all possible outcomes = 36

Consider the colour

of 1st die as red & of 2nd die as white

In this experiment the possible outcomes has to be written as seen here, that is 6 outcomes in every row

When Two Dice are Thrown together

on 1^st die 1 & on 2^nd die 1

on 1^st die 1 & on 2^nd die 2

on 1^st die 1 & on 2^nd die 3

on 1^st die 1 & on 2^nd die 4

on 1^st die 1 & on 2^nd die 5

on 1^st die 1 & on 2^nd die 6

Similarly on 1^st die 2 & on 2^nd die it may be 1/2/3/4/5/6

Similarly on 1^st die 3 & on 2^nd die it may be 1/2/3/4/5/6

Similarly on 1^st die 4 & on 2^nd die it may be 1/2/3/4/5/6

Similarly on 1^st die 6 & on 2^nd die it may be 1/2/3/4/5/6

Similarly on 1^st die 5 & on 2^nd die it may be 1/2/3/4/5/6

For Coin and dice to know total no. of

outcomes we can remember as follows :

Total no. of outcomes in 1 coin = 2

Total no. of outcomes in 2 coins = 2 × 2 = 4

Total no. of outcomes in 3 coins = 2 × 2 × 2 = 8

​

Total no. of outcomes in 1 die = 6

Total no. of outcomes in 2 dice = 6 × 6 = 36

Outcome of 1st die

1

2

3

4

5

6

8

7

Game Of Chance :

All possible outcomes are 1, 2, 3, 4, 5, 6, 7, 8

Number of all possible outcomes = 8

On whichever number the arrow points that number is taken as an outcome of that experiment.