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:

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