Question

In a lottery there are 5 prizes and 20 blanks calculate the probability of (i) getting a prize (ii) not getting a prize​

Answer 1

Answer:

1/5 is the probability of getting a prize because probability=favourable outcome/total outcome=5/25=1/5

and 4/5 is the probability of getting not a prize because probability=20/25=4/5

Answer 2

(i) Probability of getting a prize is 1/5.  

(ii) Probability of not getting a prize is 4/5.  

Given:

In a lottery, there are 5 prizes and 20 blanks

To find:

(i) Getting a prize (ii) Not getting a prize​

Solution:

Formula used:

Probability of an event

= [ No of favorable outcomes ]/ [Total No of outcomes]

From the data,

Total number of prizes = 5

Number of blanks = 20

Hence, the total number of choices in the lottery  = 20 + 5 = 25

Using the above formula,

Probability of getting a prize

= [ No of ways to get a prize] / [ Total outcomes ]  

= [ 5/ 25 ]  

= [ 1/5 ]

Probability of not getting a prize that is getting a blank

=  [ No of ways to get a blank ] / [ Total outcomes ]  

= 20/25

= 4/5

Therefore:

(i) Probability of getting a prize is 1/5.  

(ii) Probability of not getting a prize is 4/5.  

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