Explanation:
The probability of pulling out each type of coin at random can be found by dividing the number of coins of that type by the total number of coins in the bag. Let's assume the bag contains n quarters, m dimes, k nickels, and p pennies. The total number of coins in the bag would be n + m + k + p.
The probability of pulling out a quarter would be:
P(quarter) = n / (n + m + k + p)
The probability of pulling out a dime would be:
P(dime) = m / (n + m + k + p)
The probability of pulling out a nickel would be:
P(nickel) = k / (n + m + k + p)
And the probability of pulling out a penny would be:
P(penny) = p / (n + m + k + p)
It's important to note that the sum of the probabilities of all the possible outcomes must equal 1:
P(quarter) + P(dime) + P(nickel) + P(penny) = 1