January Puzzler - Digital Agent Blog
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January Puzzler

January Puzzler

DIGITAL AGENT ENGINEERS SOLVE COMPLEX PUZZLES FOR OUR CUSTOMERS EVERY DAY. CAN YOU SOLVE THE PUZZLE WE CREATED FOR YOU?


QUESTION:

DA Network Engineer, Chris, tore a piece of paper into 10 pieces, wrote the numbers 1 through 10 on them (1 number per piece) and mixed them up in a hat. If he draws 2 pieces at random, what are the chances that they will be consecutive numbers? (For example: 1 and 2, 6 and 5, 8 and 9, etc.)

ANSWER:

 

There are 10C2 = 45 possible pairs, and 9 consecutive pairs ((1,2), (2,3), …, (9,10)) available to draw. So the probability of drawing a consecutive pair is 9/45 = 1/5, or 20%. We used the following concept to count the number of possible pairs:  https://en.wikipedia.org/wiki/Combination

 

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