Q.

Two numbers are selected randomly from the set S = {1,2, 3, 4, 5, 6} without replacement one by one. The probability that minimum of the two numbers is less than  4is

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a

115

b

1415

c

15

d

45

answer is D.

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Detailed Solution

The minimum of two numbers will be less than 4 or at least one of the numbers is less than 4. Therefore, P( at least one numbers <4)=1−P( both the numbers ≥4)=1−36×25=1−630=1−15=45
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Two numbers are selected randomly from the set S = {1,2, 3, 4, 5, 6} without replacement one by one. The probability that minimum of the two numbers is less than  4is