In a lottery, there are 6 prizes and 24 blanks. What is the probability of not getting a prize?

Question:

In a lottery, there are 6 prizes and 24 blanks. What is the probability of not getting a prize?

(a) $\frac{3}{4}$

(b) $\frac{3}{5}$

(c) $\frac{4}{5}$

 

(d) none of these

 

Solution:

(c) $\frac{4}{5}$

Explanation:
Number of prizes = 6
Number of blanks = 24
Total number of tickets =  6 + 24= 30

$\therefore P($ not getting a prize $)=\frac{24}{30}=\frac{4}{5}$

 

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