What does this probability question mean ?

Question

Five balls labelled 1,2,3,4,5 are placed in a urn. Two balls are randomly selected from the five and their numbers noted.Find the probability distribution of the following : 

 

1. the largest of the two sampled numbers.

 

The sample points I got are (1,2) (1,3) (1,4) (1,5) (2,3) (2,4) (2.5) (3.4) (3.5) (4,5) 

 

I dont understand what is meant by " the largest of the two sampled numbers"

Answer 1

They want you to look at each pair and see what the largest number is.  Then use your results to write a probability distribution.  

 

P(1) = 0 .  One cannot be the larger number.

 

P(2)= 1/10.  Because there were 10 combinations and only one of them had 2 for the larger number.

 

Now you find the probability of 3,4,5.  Remember that the sum of those probabilities must be 1.