There are an equal number of pennies, nickels, dimes, and quarters in a bag. What is the probability that the combined value of the four coins randomly selected with replacement will be $0.41?

the probability is 0.09375

Step-by-step explanation:

From the question we know that there are equal number of pennies, nickels, dimes and quarters, So the probability of get of select one penny, or one nickel, or one dime or one quarter is the same. This is equivalent to have one of every coin and select four with replacement.

Additionally, the only way that the combined value of the four coins selected will be $0.41 is that the person select one penny, one nickel, one dime and one quarter.

The total ways of select 4 coins from 4 types of coins is calculate by the rule of multiplication as:

4*4*4*4=256

And for obtain the value of $0.41 the number of ways are:

4*3*2*1=24

Then the probability that the combined value of the four coins randomly selected with replacement will be $0.41 can be calculated as:

P=24/256=0.09375