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57) what is the probability?

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Source: — Problem Solving |

by sanju09 » Wed May 12, 2010 3:24 am
ern5231 wrote:a and b are selected from the set {1,2,3,4,5}. What is the probability that ab<4?
Selection can be made in 5C2 = 10 ways, and the favorable ways for a, b such that a b < 4, are

1 & 2 and 1 & 3, only 2, order doesn't matter here

the required probability is 2/10 = [spoiler]1/5 = 0.2[/spoiler].
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
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by GauravMalhotra » Wed May 12, 2010 3:25 am
Total number of ways in which 'a' can be selected is 5.
Total number of ways in which 'b' can be selected is 4.

so total 20 ways.

'ab' can be < 4 by following

a = 1 b=2
a = 1 b=3
a = 2 b=1
a = 3 b=1

total 4 ways...

answer = 4/20 or 1/5

thanks
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