The following applies to the two Questions:

A box contains five numbered balls (7,7,8,8 and 9). We will randomly select two balls from the box without replacement

Question 1 The outcome of interest is the number on each of the two balls we select. How many outcomes are contained in the sample space?

Hints : Order matters , so the outcome "78" is a different outcome than "87".

sample space consists of only unique outcomes . Therefore no outcome should be listed more than once in the sample space, regardless of how likely it is to occur

Since we are selecting without replacement , the ball that is selected on the first selection is not available to be selected on the second selection.

1) Let X be the sum of the numbers on the two selected balls. Find the probability that x = 16

a) 0.25b)0.20c)0.40d)0.30e)0.35

2) What is the probability that the sum of the two selected balls is 15 if we know that the maximum of the two selected balls is 8?

a) 0.50b)0.40c)0.80d)0.70e)0.60