Consolidating And Generalizing Data

 

Have you seen  cricket matches on Television, or the ones played in your school? In a match the captain of both the teams are called and a coin is tossed to find out who gets a chance to choose to bat or bowl. Though the captains can wish for head or tail, they cannot control the outcome of the toss.

Such an experiment is called a random experiment. These circumstances when outcomes are possible yet we cannot control them are all around us. Can you spot any more like this?

Head or Tail are the two outcomes of this experiment.

Getting a head is one out of two outcomes, i.e., ½ . In other words, we say that the probability of getting a head

= 1 /2 .

Similarly, let us take the example of throwing a dice marked with 1, 2, 3, 4, 5, 6 on its faces

What are the outcomes when we roll the dice?

The outcomes are: 1, 2, 3, 4, 5, and 6.

Thus, there are six equally likely outcomes.

What is the probability of getting the outcome ‘2’?

It is 1,

Number of outcomes giving 2

There are 6 Number of equal likely outcomes.

Example: A bag has 5 blue balls and 3 orange balls. A ball is drawn from the bag without looking into the bag. What is probability of getting a blue ball? Is it more or less than getting an orange ball?

 

Solution:

There are in all (5 + 3 =) 8 outcomes of the event.

Getting a blue ball consists of 5 outcomes.

Therefore, the probability of getting a blue ball is 5

Number of blue balls = 5
Total number of balls = 8
Required probability is 5/8

In the same way the probability of getting a orange ball = 3

Number of red balls = 3

Total number of balls = 8
Required probability is 3/8

Therefore, the probability of getting a blue ball is more than that of getting an orange ball.