# Envelopes of Cash

Suppose you have six envelopes from which to choose.

Four 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.
- You will get no $100.00 bill.

or

What is your selection?

Explain why you made your selection.

Hint

Generate the different possible combinations of envelopes that could be drawn.

Envelopes | Envelopes paired with others | ||||

envelope 1 | 1 2 | 1 3 | 1 4 | 1 5 | 1 6 |

envelope 2 | 2 3 | 2 4 | 2 5 | 2 6 | |

envelope 3 | 3 4 | 3 5 | 3 6 | ||

envelope 4 | 4 5 | 4 6 | |||

envelope 5 | 5 6 | ||||

envelope 6 |

- Then suppose that $100.00 was put into two of them. Say 2 4.
- What are the possibilities of selecting both envelopes 2 & 4 from all the combinations?
- How many 2 4 combinations are in all the combinations in the table?
- Ho many possibilities of selecting the 2 or the 4 envelope in all the combinations?