Question

A piggy bank contains 4 quarters, 18 dimes, 10 nickles, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability. P(penny, then dime)

Answer 1

The probability of choosing a penny in the first draw is:

`P(\text{penny)}=(8)/(40)`

Now, the probability of choosing a dime is:

`P(\text{dime)}=(18)/(39)`

Therefore the probabily of chooosing a penny and then a dime is:

`P=(8)/(40)\cdot(18)/(39)=(6)/(65)`