Question

22. In a lottery there are 45 blanks and 15 prizes. When a random
draw is made, find the probability of getting the following.
(a)A blank (b) A prize​

Answer 1

SOLUTION

$\boxed{\sf Probability \: of \:an \:event = \dfrac{Number \: of \:favorable \: outcomes}{Total \: number \:of \:outcomes} }$

Total Number of outcomes = Number of  blank lottery + Number of prized lottery

$\implies$

Total Number of outcomes = 45 + 15 = 60.

When a random draw is made , the probability of getting

(a)A blank

$\sf Probability(Blank) = \dfrac{Number \: of \:Blanks}{Total \: number \:of \:Lottery} }$

Number of blanks = 45.

Total Number of lottery = 60.

Therefore,

$\sf Probability(Blank) = \dfrac{45}{60} = \dfrac{3}{4}$

(b) A prize​

$\sf Probability(Prize) = \dfrac{Number \: of \: Prize}{Total \: number \:of \:Lottery} }$

Number of prizes = 15.

Total Number of lottery = 60.

Therefore,

$\sf Probability(Prize) = \dfrac{15}{60} = \dfrac{1}{4}$

Answer 2

Total Number of outcomes = Number of blank lottery + Number of prized lottery

\implies⟹

Total Number of outcomes = 45 + 15 = 60.

When a random draw is made , the probability of getting

(a)A blank

\sf Probability(Blank) = \dfrac{Number \: of \:Blanks}{Total \: number \:of \:Lottery} }

Number of blanks = 45.

Total Number of lottery = 60.

Therefore,

\sf Probability(Blank) = \dfrac{45}{60} = \dfrac{3}{4}Probability(Blank)=

60

45

=

4

3

(b) A prize

\sf Probability(Prize) = \dfrac{Number \: of \: Prize}{Total \: number \:of \:Lottery} }

Number of prizes = 15.

Total Number of lottery = 60.

Therefore,