Hi All,

This question can be considered an Overlapping Sets question (and solved with the Tic-Tac-Toe Board), but you don't need to organize your information in that way to get to the correct answer.

The key to this question is in realizing that some Left-handed batters ALSO bat with their Right-hands. Here's how you can answer the question by TESTing VALUES:

To start, let's choose 100 for the TOTAL number of players:

60% can bat with BOTH hands = 60 players

**Note: the TOTAL number of players who can bat with their LEFT hands include these 60 players AND the players who can bat with the Left hands ONLY.**

Next, we're told that 25% of players who can bat with their LEFT hands DO NOT bat with their Right hands.

X = Total who can bat Left-handed

25% of X DO NOT use their Right hands

75% of X CAN ALSO use their Right hands

Early on, we had 60 players who could bat with BOTH hands; THAT group is the 75% mentioned above...

.75X = 60

X = 80

There are 80 players who are Left-handed (20 are JUST Left-handed; 60 can bat with BOTH hands).

We're asked for the probability of randomly selecting a NON-Left-handed player.

Total = 100

NON-Left-handed = 20

20/100 = 20%

Final Answer:

GMAT assassins aren't born, they're made,

Rich

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