Question

Let the sample space be S = 1, 2 ,3 , 4, 5, 6 suppose those outcomes are equally likely. Compute the probability of the event E ="an even number"

Answer 1

Given:

Sample space be S = 1, 2 ,3 , 4, 5, 6.

The outcomes are equally likely.

To find:

The probability of the event E ="an even number".

Solution:

We have,

Sample space is S = 1, 2 ,3 , 4, 5, 6.

So, the total number of outcomes is 6.

E ="an even number".

E = {2,4,6}

So, the total number of favorable outcomes is 3.

The probability of the event E is

$P(E)=\dfrac{Favorable outcomes}{Total outcomes}$

$P(E)=\dfrac{3}{6}$

$P(E)=\dfrac{1}{2}$

$P(E)=0.5$

Therefore, the probability of the event E is 0.5.