A deck of cards contains 6 cards numbered from 1, 2, 3, 4, 5, and to 6. If three cards are randomly selected one by one

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A deck of cards contains 6 cards numbered from 1, 2, 3, 4, 5, and to 6. If three cards are randomly selected one by one

by M7MBA » Sun Mar 14, 2021 5:34 am

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A deck of cards contains 6 cards numbered from 1, 2, 3, 4, 5, and to 6. If three cards are randomly selected one by one from the deck without replacement, what is the probability that the numbers on the cards are consecutive integers in increasing order?

A. 1/60
B. 1/30
C. 1/20
D. 1/6
E. 1/3

Answer: B

Source: GMAT Club Tests

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Source: Beat The GMAT — Problem Solving | Sun Mar 14, 2021 5:34 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: A deck of cards contains 6 cards numbered from 1, 2, 3, 4, 5, and to 6. If three cards are randomly selected one by

by Scott@TargetTestPrep » Tue Mar 23, 2021 4:58 am

M7MBA wrote: ↑
Sun Mar 14, 2021 5:34 am
A deck of cards contains 6 cards numbered from 1, 2, 3, 4, 5, and to 6. If three cards are randomly selected one by one from the deck without replacement, what is the probability that the numbers on the cards are consecutive integers in increasing order?

A. 1/60
B. 1/30
C. 1/20
D. 1/6
E. 1/3

Answer: B

Solution:

The number of ways to select 3 cards from 6 where order matters is 6P3 = 6 x 5 x 4 = 120. Of these 120 ways, only 1-2-3, 2-3-4, 3-4-5, and 4-5-6 are consecutive integers in increasing order. Therefore, the probability is 4/120 = 1/30.

Answer: B

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