Question
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
Answers
GPT-4o mini
To find the probability of picking a quarter from the bag, we first need to determine the total number of coins in the bag and then the number of quarters.
The bag contains:
- 5 quarters
- 2 dimes
- 4 pennies
Now, we calculate the total number of coins:
\[
\text{Total number of coins} = 5 \, (\text{quarters}) + 2 \, (\text{dimes}) + 4 \, (\text{pennies}) = 11 \, \text{coins}
\]
Next, we know there are 5 quarters in the bag. The probability of picking a quarter is given by the formula:
\[
\text{Probability of picking a quarter} = \frac{\text{Number of quarters}}{\text{Total number of coins}}
\]
Substituting the values we have:
\[
\text{Probability of picking a quarter} = \frac{5}{11}
\]
Thus, the probability of picking a quarter is \(\frac{5}{11}\).
The bag contains:
- 5 quarters
- 2 dimes
- 4 pennies
Now, we calculate the total number of coins:
\[
\text{Total number of coins} = 5 \, (\text{quarters}) + 2 \, (\text{dimes}) + 4 \, (\text{pennies}) = 11 \, \text{coins}
\]
Next, we know there are 5 quarters in the bag. The probability of picking a quarter is given by the formula:
\[
\text{Probability of picking a quarter} = \frac{\text{Number of quarters}}{\text{Total number of coins}}
\]
Substituting the values we have:
\[
\text{Probability of picking a quarter} = \frac{5}{11}
\]
Thus, the probability of picking a quarter is \(\frac{5}{11}\).