Dices throws

What is the probability that the two throws of the dice:

a) Six falls even once
b) Six will fall at least once

Result

p1 =  0.694
p2 =  0.306

Solution:

q1=16≐0.1667 q2=1−q1=1−0.1667=56≐0.8333 p1=q22=0.83332=2536≐0.6944=0.694q_{ 1 } = \dfrac{ 1 }{ 6 } \doteq 0.1667 \ \\ q_{ 2 } = 1 - q_{ 1 } = 1 - 0.1667 = \dfrac{ 5 }{ 6 } \doteq 0.8333 \ \\ p_{ 1 } = q_{ 2 }^2 = 0.8333^2 = \dfrac{ 25 }{ 36 } \doteq 0.6944 = 0.694
p2=q1+q1−q1⋅ q1=0.306p_{2}=q_{ 1 } + q_{ 1 } -q_{ 1 } \cdot \ q_{ 1 } = 0.306

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
See also our permutations calculator.
See also our variations calculator.
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. Six on dice
    dices2_1 What is the probability that when throwing two dice will fall at least one six?
  2. Probability of intersection
    venn_three Three students have a probability of 0.7,0.5 and 0.4 to graduated from university respectively. What is the probability that at least one of them will be graduated?
  3. 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
  4. Today in school
    skola There are 9 girls and 11 boys in the class today. What is the probability that Suzan will go to the board today?
  5. Lottery
    lottery Fernando has two lottery tickets each from other lottery. In the first is 973 000 lottery tickets from them wins 687 000, the second has 1425 000 lottery tickets from them wins 1425 000 tickets. What is the probability that at least one Fernando's ticket w
  6. 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?
  7. 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?
  8. 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.
  9. Probabilities
    Venn_diagram If probabilities of A, B and A ∩ B are P (A) = 0.62 P (B) = 0.78 and P (A ∩ B) = 0.26 calculate the following probability (of union. intersect and opposite and its combinations):
  10. Toys
    toys 3 children pulled 12 different toys from a box. Many ways can be divided toys so that each children had at least one toy?
  11. Trainings
    tenis The table contains tennis training schedule for Saturday's younger students during the winter indoor season. Before the start of the summer season is preparing a new training schedule. Tomas Kucera will be able to practice only in the morning, sisters Kova
  12. Median
    statistics The number of missed hours was recorded in 11 pupils: 5,12,6,8,10,7,5,110,2,5,6. Determine the median.
  13. Variations
    pantagram Determine the number of items when the count of variations of fourth class without repeating is 42 times larger than the count of variations of third class without repetition.
  14. Olympics metals
    olympics In how many ways can be win six athletes medal positions in the Olympics? Metal color matters.
  15. Neighborhood
    glasses_1 I have 7 cups: 1 2 3 4 5 6 7. How many opportunities of standings cups are there if 1 and 2 are always neighborhood?
  16. Medals
    medails In how many ways can be divided gold, silver and bronze medal among 21 contestant?
  17. Election 4
    vote_1 In a certain election there are 3 candidates for president 5 for secretory and 2 for tresurer. Find how many ways the election may (turn out/held).