Question

two girls have identical piggy banks. the older girl has 18 quarters and 12 dimes; the younger girl has 2 quarters and 8 dimes. one day, the two banks get mixed up. you pick up a bank at random and shake it until a coin comes out. what is the probability you get a quarter? note that there are 20 dimes and 20 quarters.

Answer 1

❣.•° <

< °•.❣

Explanation:

To find the probability of picking a quarter, you can use the following formula:

\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \]

In this case:

- The number of favorable outcomes is the number of quarters, which is 20.

- The total number of possible outcomes is the total number of coins, which is \(20 + 20 = 40\).

Now, plug these values into the formula:

\[ \text{Probability} = \frac{20}{40} \]

Simplify the fraction:

\[ \text{Probability} = \frac{1}{2} \]

Therefore, the probability of picking a quarter is \( \frac{1}{2} \).