“Your Turn” at the bottom of page 532 of the textbook
There are three different scenarios in which there would be at least 3 red balls drawn if 5 balls were drawn in total:
3 red and 2 black | or | 4 red and 1 black | or | 5 red and 0 black |
Each of these scenarios will be solved independently and then the three scenarios will be added together in order to obtain the total number of ways this can occur:
3 red and 2 black | or | 4 red and 1 black | or | 5 red and 0 black |
+ | + | |||
(20)(21) | + | (15)(7) | + | (6)(1) |
There are a total of 531 ways in which the balls can be drawn.