Question

Two dice are thrown simultaneously .Find the probability of getting an even number as the sum​

Answer 1

Answer:

1/2

please rate, thanks

Step-by-step explanation:

Given :Two dice are thrown simultaneously

To Find : find the probability of getting an even number as the sum

Solution:

Possible outcomes :

{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}

Total outcomes = 36

Favorable events : an even number as the sum :{1,1};{1,3};{1,5};{2,2};{2,4};{2,6};{3,1};{3,3};{3,5};{4,2};{4,4};{4,6};{5,1};{5,3}{5,5};{6,2};{6,4};{6,6} =18

So, the probability of getting an even number as the sum:

= Favorable events/Total events

= 18/36

= 6/12

= 1/2

Hence the probability of getting an even number as the sum is 1/2