# FINDING THE LIKELIHOOD OF AN EVENT

## About "Finding the likelihood of an event"

Finding the likelihood of an event :

Let us consider the two experiments given below.

Each time we roll a number cube, a number from 1 to 6 lands face up.

In the same way, each time we toss a coin, the face will turn up either head or tail.

Getting a number from 1 to 6 in the first experiment is called an event.

And getting head or tail in the second experiment is called an event.

## Finding the likelihood of an event (Rolling a cube)

Let us roll a cube where the faces numbered from 1 to 6.

Now, order the below mentioned events and write their possibilities.

1.  Rolling a number less than 7.

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

6 of 6 possible rolls

The likelihood of the event  =  6/6  =  1

2.  Rolling an 8.

There is no 8 in the six faced cube.

0 of 6 possible rolls

The likelihood of the event  =  0/6  =  0.

3.  Rolling a number greater than 4.

{5, 6}

2 of 6 possible rolls

The likelihood of the event  =  2/6  =  1/3.

4.  Rolling a 5.

{5}

1 of 6 possible rolls

The likelihood of the event  =  1/6.

5.  Rolling a number other than 6.

{1, 2, 3, 4, 5}

5 of 6 possible rolls

The likelihood of the event  =  5/6.

6.  Rolling an even number.

{2, 4, 6}

3 of 6 possible rolls

The likelihood of the event  =  3/6  =  1/2.

7.  Rolling a number less than 5.

{1, 2, 3, 4}

4 of 6 possible rolls

The likelihood of the event  =  4/6  =  2/3.

8.  Rolling an odd number.

{1, 3, 5}

3 of 6 possible rolls

The likelihood of the event  =  3/6  =  1/2.

9.  Rolling a number divisible by 3.

{3, 6}

2 of 6 possible rolls

The likelihood of the event  =  2/6  =  1/3.

10.  Rolling a number divisible by 2.

{2, 4, 6}

3 of 6 possible rolls

The likelihood of the event  =  3/6  =  1/2.

## Finding the likelihood of an event (Tossing a coin)

Let us toss a coin.

Now, order the below mentioned events and write their possibilities.

1.  Getting head.

{H}

1 of 2 possible outcomes

The likelihood of the event  =  1/2

2.  Getting tail.

{T}

1 of 2 possible outcomes

The likelihood of the event  =  1/2

3.  Getting head or tail.

{H, T}

2 of 2 possible outcomes

The likelihood of the event  =  2/2  =  1.

4.  Getting a number divisible by 2.

A coin will turn up either head or tail and it will never turn up a number.

0 of 2 possible outcomes

The likelihood of the event  =  0/2  =  0.

After having gone through the stuff given above, we hope that the students would have understood "How to find the likelihood of an event".

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