Question 971932
One must be a penny.
The other three must add up to 40 cents. They must be a nickel, dime, and a quarter.

The first coin does not have to be anything special
The second coin has a 3/4 chance of being acceptable.  It can't be the first.
The third coin has a 1/2 chance of being acceptable.
The last coin has a 1/4 chance of being acceptable.

It is independent.
The probability is 3/32.