Question

Wayne has a bag filled with coins. the bag contains 7 quarters,8 dimes,3 nickels, and 9 pennies. he randomly chooses a coins from the bag. what is the probability that Wayne chooses a quarter or nickel?

Answer 1

Wayne has a bag filled with coins.

Number of quarters = 7

Number of dimes = 8

Number of nickels = 3

Number of pennies = 9

So, the total number of coins is

Total = 7 + 8 + 3 + 9 = 27

What is the probability that Wayne chooses a quarter or nickel?

How many coins are either quarter or nickel?

quarter or nickel = 7 + 3 = 10

So, the probability is

`P(quarter\: or\: nickel)=(10)/(27)`

Therefore, the probability that Wayne chooses a quarter or nickel is 10/27