A) \[\frac{17}{35}\]
B) \[\frac{18}{35}\]
C) \[\frac{72}{175}\]
D) \[\frac{13}{175}\]
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 \[=1-\frac{18}{35}=\frac{17}{35}.\]
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