# A piggy bank contains a certain number of coins, of which 53 are dimes and 19 are nickels. The remainder of the coins in the bank are quarters. If the probability of randomly selecting a quarter is #1/4#, how many quarters does the bank contain?

24

By signing up, you agree to our Terms of Service and Privacy Policy

To find out how many quarters the bank contains, first, determine the total number of coins in the piggy bank by adding the number of dimes and nickels together. Then, subtract this total from the total number of coins to find the number of quarters. Finally, set up an equation using the probability of randomly selecting a quarter.

Let Q represent the number of quarters. The total number of coins is the sum of the number of dimes (53) and nickels (19), which is 72. Thus, the number of quarters can be calculated as the difference between the total number of coins and the number of dimes and nickels: Q = Total coins - (Dimes + Nickels).

Then, the probability of selecting a quarter is given as 1/4. So, the probability of selecting a quarter can be expressed as the ratio of the number of quarters to the total number of coins: Probability of selecting a quarter = Number of quarters / Total coins.

Solve the equation to find the number of quarters: Q = Total coins - (Dimes + Nickels).

72 - (53 + 19) = Q.

Q = 72 - 72.

Q = 0.

Since the number of quarters cannot be negative, this means that there are no quarters in the piggy bank. Therefore, the probability of randomly selecting a quarter from the piggy bank is 0, which contradicts the given probability of 1/4. Hence, there may be an error in the problem statement or the provided information.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you evaluate 10c3?
- What is the meaning of conditional probability?
- A credit card company randomly 9 generates temporary four digit passcodes for cardholders. Serena is expecting her credit card to arrive in the mail. What is the probability that her pass code will consist of four different odd digits?
- 15 students in a school are distributed evenly among 3 classes. Given there are 3 students with red hair in the 15 and distribution is random, how many number of ways that all the students with red hair end up in the same class?
- A box contains 5 red, 2 white, & 3 blue marbles. If a marble is selected at random, what is the probability that it is not blue?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7