Envelopes of Cash

math tools index link Math toolsSuppose 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 ©