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. Step 1: Begin by identifying the total number of coins in the purse. You have 3 quarters, 4 nickels, and 2 dimes. Add these together to find the total number of coins: 3 + 4 + 2.
2. Step 2: Calculate the total number of coins. The sum from Step 1 gives you the total number of coins in the purse.
3. Step 3: Determine the number of quarters in the purse. You have 3 quarters.
4. Step 4: To find the probability of picking a quarter, divide the number of quarters by the total number of coins. Use the formula for probability: \( P(\text{quarter}) = \frac{\text{number of quarters}}{\text{total number of coins}} \).
5. Step 5: Simplify the fraction obtained in Step 4 to find the probability in decimal form. This will give you the probability that a randomly picked coin is a quarter.