Two balls are to be selected without replacement from a bag containing one red, one blue, one green, one yellow, and one black ball. How many points are there in the sample space?
To determine the number of points in the sample space, we need to consider all the possible combinations of two balls that can be selected from the bag.
Since we are selecting two balls without replacement, the first ball can be any of the five available balls. After the first ball is selected, there are four remaining balls to choose from for the second selection.
To calculate the number of points in the sample space, we need to multiply the number of choices for the first selection by the number of choices for the second selection.
Therefore, the number of points in the sample space can be found by multiplying 5 (choices for the first selection) by 4 (choices for the second selection).
5 * 4 = 20
So, there are 20 points in the sample space.