SOLUTION: Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 6 Pennies 7 Dimes 16 Nickels 19 Quarters What is the probability that yo

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 6 Pennies 7 Dimes 16 Nickels 19 Quarters What is the probability that yo      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1166183: Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following:
6 Pennies 7 Dimes
16 Nickels 19 Quarters
What is the probability that you reach into the jar and randomly grab a penny and then, without replacement, a dime? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer by themasterofcircuits(27) About Me  (Show Source):
You can put this solution on YOUR website!
We have 6 pennies, 7 dimes, 16 nickels, and 19 quarters.
The total number of coins in the jar is 6+7+16+19= 48 coins
The probability of selecting a penny randomly is 6%2F48 = 1%2F8
Since we do NOT replace the penny, we now have 47 coins in the jar.
The probability of selecting a dime is 7%2F47
Since these two events are independent of each other: P(AB)=P(A)*P(B)
P(AB) = 1%2F8*7%2F47=7%2F376 or 0.0186 or 1.86%