Question

Two dice are thrown simultaneously the probability of getting even number on them

Answer 1

Answer:

The probability is 1/2.

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Answer 2

Solution

Step-by-step explanation:

There are two dice that are thrown simultaneously,

So, the possible outcomes of the dice thrown are:

{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}

$\therefore$ the total number of possibilities are 36

So, the favorable outcome of the even numbers are:

{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}

Then, the total numbers of favorable outcome are 18.

Then, we apply the formula of the probability that is

              $=\frac{Total\;numbers\;of\;favorable\;events}{Total\;numbers\;of\;events}$

              = $\frac{18}{36}$ = $\frac{1}{2}$

Thus, the probability of getting even numbers = $\frac{1}{2}$

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