Probability of getting sum of 9 with two dice

Asked by admin @ 17/08/2021 in Math viewed by 365 People

Find the probability of throwing a sum 9 with two dice

Answered by admin @ 17/08/2021

The probability of throwing a sum 9 with two dice is $\frac{1}{9}$ .

Step-by-step explanation:

To find : The probability of throwing a sum 9 with two dice?

Solution :

When two dice are thrown,

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

(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)

The favorable outcome is getting a sum 9 i.e. {(3,6),(4,5),(5,4),(6,3)}= 4

Total number of outcome = 36

The probability of sum 9 is given by,

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}$

$\text{Probability}=\frac{4}{36}$

$\text{Probability}=\frac{1}{9}$

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