There are 2 people who are going to take part in race The probability that the first one will win is...........

Quantitative Aptitude ( CCS) Probability

There are 2 people who are going to take part in race. The probability that the first one will win is 2/7 and that of other winning is 3/5. What is the probability that one of them will win?

14/35

21/35

17/35

19/35

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Explanation:

Prob. of 1st winning = 2/7, so not winning = 1 – 2/7 = 5/7
Prob. of 2nd winning = 3/5, so not winning = 1 – 3/5 = 2/5
So required prob. = 2/7 * 2/5 + 3/5 * 5/7 = 19/35

Hence, option 4 is the correct answer.