math

posted by .

Gary has 10 coins in his pocket.
2 quarters
5 dimes
3 nickels
without looking, Gary pulls 1 coin from
his pocket and puts it on a table. Then,
he pulls one more coin from his pocket.
What is the probability that the first
coin is a dime and the second coin is a
nickle?

  • math -

    At the beginning, he had 10 coins and drew one. For this one to be a dime, it has a probability of 5/10 (5 dimes out of 10 coins in total).
    So p1=1/2

    Then, after drawing that coin, he has 9 total coins in his pocket, then he drew one. For this coin to be a nickle, it has a probability of 3/9 (3 nickels out of 9 total coins).
    So p2=1/3

    Thus, p=p1*p2=(1/2)*(1/3)
    Therefore, p=1/6

  • math -

    5/10=1/2
    3/9=1/3
    1/2*1/3=1/6✌️

  • math -

    Pro(dime) = 5/10
    Without replacement total left= 9
    Thus prob(nickel) = 3/9
    Therefore
    Pro(dime&nickel)=(5/10)(3/9)= 1/6

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 6th grade math

    We are learning probability and can you please check my answer. Question: Enrique has 3 dimes, 2 quarters, and 5 nickels in his pocket. He takes one coin from his pocket at random. What is the probability that the coin is either a …
  2. Math

    In Lloyd's pocket are 6 coins: 3 dimes, 2 nickels, and 1 penny. If Lloyd randomly takes two coins out of his pocket, what is the probablity that he will take out 11 cents?
  3. math

    Corrine has 3 quarters, 7 dimes, 6 nickels, and 4 pennies in her pocket. If one coin falls out, what is the probability that it will not be worth more than $0.10?
  4. math

    can someone help explain how to do this? allen has nickels dimes and quarters in his pocket. the number of nickels is 1 more than twice the number of quarters. the number of dimes is 1 less than the number of quarters. if the value
  5. math

    Gene has less 12 nickels,dimes,&quarters in his pocket.The probabilty of pulling out a nickel or quarter is 3/4.pulling out a dime is 1/4.How many coins does gene have in his pocket?
  6. math

    in his left pocket ralph has 4 quarters and 5 nickels. in his right pocket he has 3 quarters 2 nickels and 1 penny. if he wants to select a quarter at random, which pocket should he choose?
  7. algebra

    How many coins When i dumped the change out of my pocket, I noticed that i could pay the exact price for any item from one cent up to and through one dollar without receiving any change. What is the fewest number of coins I could have …
  8. math

    Gary has $1.56 in change in his pocket. if there is a total of 19 coins, how may quarters, dimes, nickeland pennies does her have?
  9. Math

    If Mike has 8 dimes and 6 pennies in his pocket. If he randomly selected one coin and then a second coin without replacing the first, what is the probability that both coins were dimes?
  10. Mah

    Adam has 4 dimes, 4 quarters and 4 nickels in his pocket. He pulls out 2 coins making sure to put the first one back in his pocket before picking the second. What are the odds that he pulls out 2 nickels?

More Similar Questions