Question

A very large bag contains more coins than you are willing to count. Instead, you draw a random sample of coins from the bagand record the following numbers of each type of coin in the sample before returning the sampled coins to the bag. If yourandomly draw a single coin out of the bag, what is the probability that you will obtain either a quarter or a nickel? Enter afraction or round your answer to4 decimal places, if necessary.Coins in a BagQuartersDimesNickels262928Pennies17

Answer 1

The given number of coins of each type are:

Quarters: 26

Dimes: 29

Nickels: 28

Pennies: 17

Then, the total number of coins you draw out of the bag is:

`26+29+28+17=100`

Thus, the probability of obtaining a quarter is:

`P(quarter)=(26)/(100)=0.26`

And the probability of obtaining a nickel is:

`P(\text{nickel)}=(28)/(100)=0.28`

And the probability of drawing a