Question

A die is rolled. what is the probability of getting an even number on the upper face?​

Answer 1

Given,

A die is rolled.

To Find,

The probability of getting an even number on the upper face.

Solution,

The formula for calculating the probability of an event is

Probability of an event = Favorable outcomes/Total outcomes

In this case,

Favorable outcomes = 3 {2,4,6}

Total number of outcomes = 6

Now,

Probability of getting an even number = 3/6 = 1/2

Hence, the probability of getting an even number on the upper face is 1/2.

Answer 2

The probability of getting an even number on the upper face = 1/2

Given :

A die is rolled

To find :

The probability of getting an even number on the upper face

Solution :

Step 1 of 3 :

Find total number of possible outcomes

Here it is given that a die is rolled

So the event points are

= { 1 , 2 , 3 , 4 , 5 , 6 }

So the total number of possible outcomes = 6

Step 2 of 3 :

Find total number of possible outcomes for the event

Let A be the event that of getting an even number on the upper face

So the event points are 2 , 4 , 6

So total number of possible outcomes for the event A is 3

Step 3 of 3 :

Find the probability

Hence the required probability

= P(A)

$\displaystyle \sf{ = \frac{Number \: of \: favourable \: cases \: to \: the \: event \: A }{Total \: number \: of \: possible \: outcomes }}$

$\displaystyle \sf{ = \frac{3}{6} }$

$\displaystyle \sf{ = \frac{1}{2} }$

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