Question

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

Answer 1

Given,

In a lottery prizes are 10.
And blanks are 25.

Total number of outcomes possible=>

n(S) = 10 + 25 = 35

Total number of prizes, n(E) = 10

So,
p(E)=n(E)/n(S)
=10/35
=2/7
the probability of price is 2/7.

Answer 2

Given:

The number of prizes=10

The number of blanks=25

To find:

The probability of getting a prize

Solution:

The probability of winning a prize is 2/7.

We can find the probability by following the steps given below-

We know that the probability of any event depends on the number of possible and favorable outcomes.

The probability of an event=Total favorable outcomes/ Total number of outcomes

Here, the number of prizes available=10

The number of blanks in a lottery=25

So on drawing a lottery, a person can either win a prize or get a blank.

The total number of outcomes=The number of prizes+The number of blanks

=10+25=35

Now, we will use these values to determine the probability of winning a prize.

So, the probability of winning a prize=The total number of prizes/ Total number of outcomes

=10/35

=2/7

Therefore, the probability of winning a prize is 2/7.