Question

in a single throw of two dice what is the probability of getting sum of 9

Answer 1

Total no.of possible outcomes = 36
Now,
Sample space for the following event to occur that is getting a sum of 9
= (4,5)(5,4)(3,6)(6,3).
No of favourable outcomes = 4.
Probability of getting a sum of 9
= 4 / 36 = 1/9.

Answer 2

Given:

Two dice are thrown once

To Find:

what is the probability of getting a sum of 9

Solution:

Probability is defined as the chances for an event to happen out of all the possible outcomes for that event. It lies between 0 to 1 and is denoted by P.

The formula for probability is,

$P=\frac{Possible Outcomes}{Total Outcomes}$

In the given case when two dice are thrown together, the total number of possible outcomes will be 6*6 is 36

And the events when the sum is equal to 9 will be,

(3,6) and (6,3)

(4,5) and (5,4)

That is a total of 4 events, so the probability using the stated formula will be,

[tex]P=\frac{4}{36} \\ =\frac{1}{9} \\ =0.\bar1[/tex]

Hence, the possibility of getting a sum of 9 will be 1/9.