Cards

From a set of 32 cards, we randomly pull out three cards. What is the probability that it will be seven kings and ace?

Correct answer:

p =  1.2903 %

Step-by-step explanation:

C1(4)=(41)=4!1!(41)!=41=4 C3(32)=(323)=32!3!(323)!=323130321=4960 a=((14))3=64 b=(332)=4960 p=100 a/b=100 64/4960=1.2903%



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar







Tips to related online calculators
See also our combinations with repetition calculator.
Would you like to compute count of combinations?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Two aces
    cards 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?
  • Cards
    cards The player gets 8 cards of 32. What is the probability that it gets a) all 4 aces b) at least 1 ace
  • Ace
    ace From complete sets of playing cards (32 cards), we pulled out one card. What is the probability of pulling the ace?
  • Families 2
    family Seven hundred twenty-nine families are having six children each. The probability of a girl is 1/3, and the probability of a boy is 2/3. Find the number of families having two girls and four boys.
  • Playing cards
    binomial From 32 playing cards containing 8 red cards, we choose 4 cards. What is the probability that just 2 will be red?
  • Combinations 6
    dices2 6 purses 9 flaps 12 straps Every combination must include 1 purse, 1 flap, and 1 strap. How many are possible combinations?
  • Boys and girls
    dices2 There are 11 boys and 18 girls in the classroom. Three pupils will answer. What is the probability that two boys will be among them?
  • Cards
    sedmove karty How many ways can give away 32 playing cards to 7 player?
  • Balls
    spheres The urn is 8 white and 6 black balls. We pull 4 randomly balls. What is the probability that among them will be two white?
  • Five-digit numbers
    numbers2 How many different five-digit numbers can be created from the numbers 2,3,5 if the number 2 appears in the number twice and the number 5 also twice?
  • Cinema
    stale_kvoka How many ways can be divided 11 free tickets to the premiere of "Jáchyme throw it in the machine" between 6 pensioners?
  • STRESSED word
    DESSERTS Each letter in STRESSED is printed on identical cards, one letter per card, and assembled in random order. Calculate the probability that the cards spell DESSERTS when assembled.
  • White and black balls
    balls_bw There are 7 white and 3 black balls in an opaque pocket. The balls are the same size. a) Randomly pull out one ball. What is the probability that it will be white? We pull out one ball, see what color it is and return it to the pocket. Then we pull out th
  • Beads
    koralky2 How many ways can we thread 4 red, 5 blue, and 6 yellow beads onto a thread?
  • Three reds
    sedma What is the probability that when choosing 3 carats from seven carats, all 3 reds will be red?
  • Peaches
    broskve There are 20 peaches in the pocket. 3 peaches are rotten. What is the probability that one of the randomly picked two peaches will be just one rotten?
  • Two groups
    skola The group of 10 girls should be divided into two groups with at least 4 girls in each group. How many ways can this be done?