Question

one coin is randomly selected from a jar containing 70 nickels 100 dimes 80 quatres and 50 1 dollar coins find the probability of the quarters

Answer 1

To find the probability of selecting a quarter from the jar, you can use the formula for probability:

\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]

In this case:
- The number of quarters (favorable outcomes) is 80.
- The total number of coins is the sum of all the coins in the jar:

\[
\text{Total number of coins} = \text{Number of nickels} + \text{Number of dimes} + \text{Number of quarters} + \text{Number of 1 dollar coins}
\]
\[
\text{Total number of coins} = 70 + 100 + 80 + 50 = 300
\]

Now, substituting these values into the probability formula:

\[
\text{Probability of choosing a quarter} = \frac{80}{300}
\]

To simplify:

\[
\frac{80}{300} = \frac{8}{30} = \frac{4}{15}
\]

Thus, the probability of selecting a quarter is:

\[
\frac{4}{15}
\]