+ Reply to Thread
Results 1 to 2 of 2

Thread: m&m probability

  1. #1
    TS Contributor
    Points: 5,729, Level: 48
    Level completed: 90%, Points required for next Level: 21

    Location
    Abbottabad
    Posts
    339
    Thanks
    1
    Thanked 3 Times in 3 Posts

    m&m probability




    Hi can you look over my solution? I am having difficulty in C and D part(what do they mean by procedure?)
    Thanks

    1) According to company reports, the current mix of colors for M&M dark chocolate candies is: 20% yellow, 10% red, 15% orange, 10% blue, 25% green, with the rest being brown.
    A. If a single piece is taken from a bag of 600 pieces, find the following probabilities:
    a. P (red) = 0.10*600/600 = 60/600=1/10 = 0.1

    b. P (brown) = 1- P (red) - P (Blue) - P (yellow) – P (green) – P (orange)
    =1-(0.10+0.10+0.2+0.25+0.15)
    = 1-0.8
    = 0.2
    c. P (blue or orange) = P (blue) + P(orange) = 0.10+0.15 = 0.25

    d. P (NOT red) = 1-P (red) = 1- 0.1 = 0.9
    e. P (NOT brown) = 1-P(brown) = 1-0.2 = 0.8
    f. P (red and green) = 0 (as each m&m has single color, so we cannot find an m&m which is red and green)

    B. If two pieces are taken from a 600 piece bag, find the following probabilities:
    a. P (both are blue) b. P (the first is orange) = 90/600 = 0.15
    = (60/600) * (59/599)


    c. P (first is red and the second is green) = 60/600*150/599


    C. How would the process in problem #1A change if we are sampling from a “fun-size” bag which only has 12 pieces?
    Solution:
    The probabilities of selecting a red, green, blue, orange or yellow m&m will remain the same, but the probabilities will not be realistic as m&ms are discrete and cannot be fractional, so if the probability of selecting a red m&m is 0.10 this implies that in a fun size packet there are 1.2 red m&ms.
    D. How would the process in problem #1B change if we are sampling isfrom a “fun-size” bag which only has 12 pieces?

  2. #2
    TS Contributor
    Points: 5,729, Level: 48
    Level completed: 90%, Points required for next Level: 21

    Location
    Abbottabad
    Posts
    339
    Thanks
    1
    Thanked 3 Times in 3 Posts

    Re: m&m probability


    Bump!........

+ Reply to Thread

           




Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts






Advertise on Talk Stats