# Cool Envelopes

**Discrete Mathematics**Level 2

There are 3 envelopes, one with $1, one with $2, and one with $4 dollars. You do not know which envelope has which amount of money.

After you pick one at random, you are told which envelope of the remaining 2 that has the lowest value, but not the actual value of that envelope. What is the expected value if you switch to the last envelope remaining (the one that was not yet mentioned)?