In a lottery, there are 8 prizes and 16 blanks. What is the probability of getting a prize?

Question:

In a lottery, there are 8 prizes and 16 blanks. What is the probability of getting a prize?

(a) $\frac{1}{2}$

(b) $\frac{1}{3}$

(c) $\frac{2}{3}$

(d) none of these

 

Solution:

(b) $\frac{1}{3}$

Explanation:
Number of prizes = 8
Number of blanks = 16

Total number of tickets $=8+16=24$

$\therefore P($ getting a prize $)=\frac{8}{24}=\frac{1}{3}$

 

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