Algebra II

Help me with this question please

There are 12 red checkers and 3 black checkers in a bag. Checkers are selected one at a time, with replacement. Each time, the color of the checker is recorded. Find the probability of selecting a red checker exactly 7 times in 10 selections. Show your work

  1. 👍 0
  2. 👎 0
  3. 👁 1,043
  1. binomial distribution
    p(sucess) = 12/15 = 4/5 = .8
    1-p = 1/5 = .2

    n = 10
    k = 7
    P(x=7) = C(10,7) * .8^7 * .2^3

    C(10,7) = 10!/[ 7! (3!) ]
    = 10*9*8 / (3*2) = 80*9/6 = 120

    so
    P = (120)(.8^7)(.2^3) = 0.201

    1. 👍 0
    2. 👎 1
  2. If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

    (12/15)^7 * (3/15)^3 = ?

    1. 👍 1
    2. 👎 1
  3. ....but the probability of failure is not independent of the probability of success :)

    1. 👍 0
    2. 👎 0
  4. In other words you did one of 120 sequences that yield 7 successes out of 10 trials.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Science

    In a particular breed of cattle, a black coat is dominant over a red coat. If a cow with a red coat is crossed with a black bull that is heterozygous for coat color, what percentage of their offspring would you expect to be black?

  2. statistics

    The red face cards and the black cards numbered 2-9 are put into a bag. Four cards are drawn at random without replacement. Find the following probabilities: a) All 4 cards are red b) 2 cards are red and two cards are black c) At

  3. Math

    During a checkers game, there are 16 pieces left. The ratio of black to red is 3:5. How many black pieces are on the board?

  4. math

    The game of checkers is played on a square board. If the length of one side of the board is 4^2 inches, what is the area of the board in square inches? Express your answer using exponents. Be sure to include units.

  1. math

    if A 52 card deck of playing cards is shuffled, and one card is dealt from the top of the deck. What is the probability that it is a red ten? 52 cards in a standard deck. 13 Diamonds 13 Hearts all RED. Then have 13 Spades and 13

  2. Biology

    The gene for red hair is recessive to the gene for black hair.What will be the hair colour of a child if he inherits a gene for red colour from his mother and a gene of black hair from his father?Express with the help of a flow

  3. Math

    If I picked a red checker from a bag of 9 black checkers and 6 red checkers, replacing it, and picking a red checker. What would the probability be of each set???

  4. Resources and references

    Your composing a report. You realize using the word "option" over and over again. Which of the following references will help you find a different word with the some meaning? A: A spell Checkers B: A thesaurus C: AP style book D:

  1. math

    in each game there are 12 red checkers and 12 black checkers.If tom put all the checkers in the bag and randomly picked 2,what is the probability that both will be black?

  2. Algebra

    1) There are two pet stores in zacharys town. There are dogs, cats, and hamsters at the first pet store. The second store has dogs, rabbits, and fish. Write a set that represents all of the different pets stores in the town. 2) of

  3. NATURE OF ELECTRICITY

    If a charged sphere is brought close to a rod as shown in Figure A, the pairs of pith balls suspended at the ends of the rod will as the figure im reading is showing there is a charged sphere to the left then a induced charged on

  4. math

    In a bag, there are 10 black plastic chips, 7 yellow, 5 red, and 3 green. Two chips are drawn at random with replacement. Find P(black, then red). 3/5 2/25 2/3 2/5

You can view more similar questions or ask a new question.