Question

Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 5 Pennies 26 Dimes 18 Nickels 12 Quarters What is the probability that you reach into the jar and randomly grab a quarter and then, without replacement, a penny? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answer 1

Explanation:

number of pennies = 5

number of dimes = 26

number of nickels = 18

number of quarters = 12

Total = 5 + 26 + 18 + 12 = 61

Probability to take out a quarter = 12 / 61 = 0.1967

Probability to take out a penny without replacement = 5 / 60 = 0.0833

Total probability to take out a quarter and then penny without replacement

= 0.1967 x 0.0833 = 0.0164