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 in percent

Answer 1

To find the probability of randomly selecting a quarter from the jar, we can use the following formula:

\[
P(\text{quarter}) = \frac{\text{number of quarters}}{\text{total number of coins}}
\]

First, let's calculate the total number of coins in the jar:

- Number of nickels = 70
- Number of dimes = 100
- Number of quarters = 80
- Number of 1 dollar coins = 50

Total number of coins:

\[
70 + 100 + 80 + 50 = 300
\]

Now, we can use the number of quarters and the total number of coins to find the probability:

\[
P(\text{quarter}) = \frac{80}{300}
\]

To express the probability as a percentage, we multiply by 100:

\[
P(\text{quarter}) = \frac{80}{300} \times 100
\]

Calculating that gives:

\[
P(\text{quarter}) = \frac{80 \times 100}{300} = \frac{8000}{300} \approx 26.67\%
\]

Therefore, the probability of selecting a quarter from the jar is approximately **26.67%**.