Statistics And Probability Question 101
Question: In a horse race the odds in favour of three horses are $ 1:2 $ , $ 1:3 $ and $ 1:4 $ . The probability that one of the horse will win the race is
Options:
A) $ \frac{37}{60} $
B) $ \frac{47}{60} $
C) $ \frac{1}{4} $
D) $ \frac{3}{4} $
Show Answer
Answer:
Correct Answer: B
Solution:
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Probabilities of winning the race by three horses are $ \frac{1}{3},\frac{1}{4} $ and $ \frac{1}{5}. $ Hence required probability $ =\frac{1}{3}+\frac{1}{4}+\frac{1}{5}=\frac{47}{60}. $