If Ben were to lose the championship, Mike would be the winner with a probability of \(\dfrac14,\) and Rob \(-\dfrac13\)

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If Ben were to lose the championship, Mike would be the winner with a probability of \(\dfrac14,\) and Rob \(-\dfrac13.\) If the probability of Ben being the winner is \(\dfrac17,\) what is the probability that either Mike or Rob will win the championship? Assume that there can be only one winner.

A. \(\dfrac1{12}\)

B. \(\dfrac17\)

C. \(\dfrac12\)

D. \(\dfrac7{12}\)

E. \(\dfrac67\)

Answer: C

Source: GMAT Club Tests
Source: — Problem Solving |