Math

posted by .

Seven standard, six-sided dice are rolled, one after the other. What is the probability that:

a) exactly one of them shows a six?
c) there is at least one that shows a six?

  • Math -

    prob(6) = 1/6
    prob(not6) = 5/6

    a) exactly 1 out of 7 tries to be 6
    = C(7,1) * (1/6)^1 * (5/6)^6
    = .3907 rounded to 4 decimals

    b) at least one 6 ---> 1 - prob(all not6)
    = 1 - C(7,7) * (1/6)^0 * (5/6)^7
    = 1 - .2791
    = .7209

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Alg2/trig

    Hi, I hope you guys don't mind if I post a couple probability questions. A child returns a five-volume set of books to a bookshelf. The child is not able to read, and so cannot distinguish one volume from another. What is the probability …
  2. math

    A six sided die is rolled three times. List possible outcomes and find the probability of rolling exactly one 6.
  3. Geometry

    Six standard six-sided die are rolled. Let p be the probability that the dice can be arranged in a row such that for 1\leq k \leq 6 the sum of the first k dice is not a multiple of 3. Then p can be expressed as \frac{a}{b} where a …
  4. Probability

    When two fair six-sided dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the two dice is 8.
  5. math

    A specially made pair of dice has only one- and two-spots on the faces. One of the dice has three faces with one-spot and three faces with two-spot. The other die has two faces with one-spot and four faces with a two-spot. One of the …
  6. Data management

    Which of the following three events is more likely to happen that a person get a) At least 1 six when 6 dice are rolled; b) At least 2 sixes when 12 dice are rolled, or c) At least 3sixes when 18 dice are rolled. Explain why.
  7. math

    If four standard six-sided dice are rolled,what is the probability that the sum of the number on the top faces is 22, or 23,or 24,.express your answer as a common fraction
  8. probability

    Betty has several of the standard six-sided dice that are common in many board games. If Betty rolls one of these dice, what is the probability that she rolls a three?
  9. Math

    You roll two fair dice. Let E be the event that an even total shows on the dice. Let F be the event that a six shows on at least one of the dice. Find P(F) and P(F|E). Choices: P(F)=1/3; P(F|E)=1/13 P(F)=1/3; P(F|E)=5/18 P(F)=11/36; …
  10. math

    A pair of 6 sided fair dice are rolled. If one of the dice shows an odd number what is the probability of the sum of the dice being 7 ?

More Similar Questions