Envelopes of Cash
Suppose that you have six envelopes to choose. Four of them are empty and two have $100.00 bills in them. You are allowed to choose two envelopes at random.
What is more likely?
You will get at least one $100.00 bill.
You will get two $100.00 bills.
or
You will get no $100.00 bill.
Hint: Generate the different possible combinations of envelopes that could be drawn. Then suppose that $100.00 wee put into two of them. Figure the possibities of different combinations.
| Envelopes | Envelopes paired with others | ||||
| envelope 1 | 12 | 13 | 14 | 15 | 16 |
| envelope 2 | 23 | 24 | 25 | 26 | |
| envelope 3 | 24 | 35 | 36 | ||
| envelope 4 | 45 | 46 | |||
| envelope 5 | 56 | ||||
| envelope 6 | |||||
Dr. Robert Sweetland's Notes ©