Question

A very large bag contains more coins than you are willing to count. Instead, you draw a random sample of coins from the bag and record the following numbers of eachtype of coin in the sample before returning the sampled coins to the bag. If you randomly draw a single coin out of the bag, what is the probability that you will obtain apenny? Enter a fraction or round your answer to 4 decimal places, if necessary.Quarters27Coins in a BagDimes21Nickels24Pennies28

Answer 1

Given:

The number of quarters = 27

The number of dimes = 21

The number of Nickels = 24

The number of Pennies = 28

Required:

Find the probability to obtain a penny.

Explanation:

The total number of coins = 27 + 21 + 24 +28 = 100

The probability of an event is given by the formula:

`P=\frac{Number\text{ of possible outcomes}}{Total\text{ number of outcomes}}`

The number of penny = 28

`\begin{gathered} P(penny)=(28)/(100) \\ P(penny)=0.28 \end{gathered}`

Final Answer:

The probability of obtaining Penny is 0.28.