**Answer:**

There is a 6.67% probability that a nickel is drawn first and then a quarter.

**Step-by-step explanation:**

There are 6 coins. The sum of their values is $0.67. We need to find how many of each coin are there.

A penny is worth 1 cent.

A nickel is worth 5 cents.

A dime is worth 10 cents.

A quarter is worth 25 cents.

**To get to 67 cents, we need:**

Two pennies, a nickel, a dime and two quarters.

**So:**

**What is the probability that a nickel is drawn first and then a quarter? Assume no replacement and that all coins are equally likely.**

Initially there are 6 coins, of which 1 is a nickel. So the probability that the nickel is drawn is:

There are no replacements, so now there are 5 coins, of which 2 are quarters. So the probability that a quarter is drawn is:

.

**The probability that a nickel is drawn first and then a quarter is:**

There is a 6.67% probability that a nickel is drawn first and then a quarter.