Question

#3ItYour piggy bank is filled with coins!contains 27 quarters, 18 dimes, 11 nickels,and 124 pennies. You turn you bank upside-down and a coin falls out. What is theprobability the coin is worth less than 25¢?

Answer 1

Given data:

27 quarters (25¢)

18 dimes (10¢)

11 nickels (5¢)

124 pennies (1¢)

Total coins: 180

Coins that are less than 25¢: 27+18+11=56

Probability that the coin that falls out worths less than 25¢:

$P(<25)=\frac{coins\text{ }<25}{total\text{ }coins}=\frac{56}{180}=\frac{14}{45}\approx0.311$

Then, the probability that the coin that falls out worths less than 25¢ is 14/45 or approximately 0.311