Abox of 6 coins (penny, nickel, dime or quarter) worth $0.67 is shaken. what is the probability that a nickel is drawn first and then a quarter? assume no replacement and that all coins are equally likely.

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.

answer: i feel you honey.

step-by-step explanation: