2. Ms. Mitchells' coin purse has 20 coins. There are 6 pennies, 4 quarters, 3 dimes, and the remainder are nickels. What is the theoretical probability of randomly selecting a nickel from Ms. Mitchells' coin purse?

To determine the theoretical probability of randomly selecting a nickel from Ms. Mitchell's coin purse, follow these steps: 1. **Total Number of Coins:** - Ms. Mitchell has a total of **20 coins**. 2. **Breakdown of the Coins:** - **Pennies:** 6 - **Quarters:** 4 - **Dimes:** 3 - **Nickels:** To find the number of nickels, subtract the total number of pennies, quarters, and dimes from the total number of coins: \[ \text{Number of nickels} = 20 - (6 + 4 + 3) = 20 - 13 = 7 \] 3. **Calculating the Probability:** - **Probability (P) of selecting a nickel** is the ratio of the number of nickels to the total number of coins: \[ P(\text{nickel}) = \frac{\text{Number of nickels}}{\text{Total number of coins}} = \frac{7}{20} \] - This can also be expressed as **35%** if you prefer a percentage. **Final Answer:** The probability of selecting a nickel is \(\frac{7}{20}\) or 35 %.