which card is lost

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maihuna: Legendary Member; Posts: 1578; Joined: Sun Dec 28, 2008 1:49 amFollowed by: 9 members; Thanked: 82 times; GMAT Score:720

by maihuna » Sat Aug 15, 2009 12:44 am

A card from a pack of 52 cards is lost. From the remaining cards of the pack,
two cards are drawn and are found to be both diamonds. Find the probability of the lost card being a diamond.

7/44
11/50
21/50
37/49
1/52

Charged up again to beat the beast

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Source: Beat The GMAT — Problem Solving | Sat Aug 15, 2009 12:44 am

mohitsharda: Senior | Next Rank: 100 Posts; Posts: 64; Joined: Sat Aug 01, 2009 3:13 amFollowed by: 1 member; Thanked: 5 times; GMAT Score:740

by mohitsharda » Sat Aug 15, 2009 2:22 am

11/50

We know for sure that there are 2 diamond cards in the remaining pack. So, leave these two aside.

We are left with 50 card in total, but only 11 possible diamond cards.

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