Probability Question 40
Question: In a lottery 50 tickets are sold in which 14 are of prize. A man bought 2 tickets, then the probability that the man win the prize, is
Options:
A) $ \frac{17}{35} $
B) $ \frac{18}{35} $
C) $ \frac{72}{175} $
D) $ \frac{13}{175} $
Show Answer
Answer:
Correct Answer: A
Solution:
In 50 tickets 14 are of prize and 36 are blank.
Number of ways both the tickets are blank $ ={}^{36}C_2 $
Thus the probability of not winning the prize $ =\frac{{}^{36}C_2}{{}^{50}C_2}=\frac{18}{35} $ .
Hence probability of winning the prize $ =1-\frac{18}{35}=\frac{17}{35}. $
BETA
