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Question

# Two numbers are selected at random from 1,2,3,4,5,6 without replacement. The probability that the minimum of the two numbers is less than 4 is

A
45
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B
130C2100C2
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C
31C2100C2
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D
131C2100C2
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Solution

## The correct option is A 45Given set S=1,2,3,4,5,6All the possible combinations are 6C2=15.Out of this, 12 possible combinations where minimum of the two number is less than 44 are (1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6).Hence the required probability =1215=45

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