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Home Questions HQCD78RPMU
Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Probability

Question:

Two numbers are selected at random (without replacement) from the first three positive integers. Let X denotes the larger of the two integers, then the probability distribution of X is

Options:

 x

2

3

 P(X = x) 

 1 / 3 

 2 / 3 

 x

2

3

 P(X = x) 

 1 / 2 

 1 / 2 

 x

2

3

 P(X = x) 

 2 / 3 

 1 / 3 

 x

2

3

 P(X = x) 

 1 / 5 

 4 / 5 
Correct Answer:

 x

2

3

 P(X = x) 

 1 / 3 

 2 / 3 
Explanation:

Possible cases of selected pairs

  (1, 2)  

  (2, 3)  

  (1, 3)  

2

3

3

Greatest among them

P(X = 2) = $\frac{1}{3}$

P(X = 3) = $\frac{2}{3}$

 x

2

3

 P(X = x) 

 1 / 3 

 2 / 3 

Option: 1

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