Two aces

From a 32 card box we randomly pick 1 card and then 2 more cards. What is the probability that last two drawn cards are aces?

Result

p =  1.21 %

Solution:

a=(28/32)⋅ (4/31)⋅ (3/30)=7620≐0.0113 b=(4/32)⋅ (3/31)⋅ (2/30)=11240≐0.0008 p=100⋅ (a+b)=100⋅ (0.0113+0.0008)=7562≐1.2097=1.21%a = (28/32) \cdot \ (4/31) \cdot \ (3/30) = \dfrac{ 7 }{ 620 } \doteq 0.0113 \ \\ b = (4/32) \cdot \ (3/31) \cdot \ (2/30) = \dfrac{ 1 }{ 1240 } \doteq 0.0008 \ \\ p = 100 \cdot \ (a+b) = 100 \cdot \ (0.0113+0.0008) = \dfrac{ 75 }{ 62 } \doteq 1.2097 = 1.21 \%

Try another example


Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Would you like to compute count of combinations?

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Cards
    cards_4 The player gets 8 cards of 32. What is the probability that it gets a) all 4 aces b) at least 1 ace
  2. Hearts
    hearts_cards 5 cards are chosen from a standard deck of 52 playing cards (13 hearts) with replacement. What is the probability of choosing 5 hearts in a row?
  3. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  4. Balls
    spheres From the urn in which are 7 white balls and 17 red, gradually drag 3-times without replacement. What is the probability that pulls balls are in order: red red red?
  5. Green - Red
    balls_2 We have 5 bags. Each consist one green and 2 red balls. From each we pull just one ball. What is the probability that we doesn't pull any green ball?
  6. Trinity
    trojka How many different triads can be selected from the group 43 students?
  7. Cards
    cards_2 Suppose that are three cards in the hats. One is red on both sides, one of which is black on both sides, and a third one side red and the second black. We are pulled out of a hat randomly one card and we see that one side of it is red. What is the probab
  8. One green
    gulicky In the container are 45 white and 15 balls. We randomly select 5 balls. What is the probability that it will be a maximum one green?
  9. First class
    prvni_jakost The shipment contains 40 items. 36 are first grade, 4 are defective. How many ways can select 5 items, so that it is no more than one defective?
  10. Shooters
    soldiers In army regiment are six shooters. The first shooter target hit with a probability of 49%, next with 75%, 41%, 20%, 34%, 63%. Calculate the probability of target hit when shooting all at once.
  11. A book
    books_32 A book contains 524 pages. If it is known that a person will select any one page between the pages numbered 125 and 384, find the probability of choosing the page numbered 252 or 253.
  12. Calculation of CN
    color_combinations Calculate: ?
  13. A student
    test_14 A student is to answer 8 out of 10 questions on the exam. a) find the number n of ways the student can choose 8 out of 10 questions b) find n if the student must answer the first three questions c) How many if he must answer at least 4 of the first 5 qu
  14. Hockey
    hokej Hockey match ended 8:2. How many different matches could be?
  15. Fish tank
    zebra_fish A fish tank at a pet store has 8 zebra fish. In how many different ways can George choose 2 zebra fish to buy?
  16. Division
    skauti_3 Division has 18 members: 10 girls and 6 boys, 2 leaders. How many different patrols can be created, if one patrol is 2 boys, 3 girls and 1 leader?
  17. Menu
    jedalnicek On the menu are 12 kinds of meal. How many ways can we choose four different meals into the daily menu?