Let's break down the problem:

The bar graph shows the following distribution of coins in the piggy bank:

• Pennies: 21
• Nickels: 7
• Dimes: 17
• Quarters: 30

Total coins:

$21 \text{ (pennies)} + 7 \text{ (nickels)} + 17 \text{ (dimes)} + 30 \text{ (quarters)} = 75 \text{ coins in total}$

1. Probability that the coin is a penny:

$\text{Probability} = \frac{\text{Number of pennies}}{\text{Total coins}} = \frac{21}{75} \approx 0.28$

2. Probability that the coin is a dime:

$\text{Probability} = \frac{\text{Number of dimes}}{\text{Total coins}} = \frac{17}{75} \approx 0.23$

3. Probability that the coin is not a nickel:

[ \text{Probability} = 1 - \frac{\text{Number of nickels}}{\text{Total coins}} = 1 - \frac{7}{75} = \frac