Question 1135522
Probability of choosing a quarter = 4/15
Probability of choosing a dime = 6/15
Probability of choosing a nickel = 5/15<br>
Multiply the probability of a coin by its value:<br>
4/15 * 25 cents = 6.6667 cents
6/15 * 10 cents = 4.0000 cents
5/15 * 5 cents =  1.6667 cents<br>
Add all these together to find the expected value:<br>
6.6667 + 4.0000 + 1.6667 = 12.3334<br>
So, the expected value is 12-1/3 cents.