In your coin purse, you have 3 quarters, 4 nickels, & 2 dimes. If you pick a coin at random, what is the probability that it will be a quarter?

• A. $0.33$
• B. $0.44$
• C. $0.50$
• D. $0.66$

Answer: (A)

Verified step by step guidance

1. First, identify the total number of coins in the purse. You have 3 quarters, 4 nickels, and 2 dimes. Add these numbers together to find the total number of coins: 3 + 4 + 2.
2. Next, determine the number of favorable outcomes for the event of picking a quarter. Since there are 3 quarters, the number of favorable outcomes is 3.
3. Calculate the probability of picking a quarter by dividing the number of favorable outcomes by the total number of outcomes. Use the formula: \( P(\text{quarter}) = \frac{\text{number of quarters}}{\text{total number of coins}} \).
4. Substitute the values into the formula: \( P(\text{quarter}) = \frac{3}{3 + 4 + 2} \).
5. Simplify the expression to find the probability. This will give you the probability of picking a quarter from the coin purse.