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
Answer & explanation
Correct answer: option 1
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