Recent content by LokLe

  1. L

    [Bayes' Theorem] Finding the probability of guessing correctly

    My original P(White | box (1/2/3)) is not correct since it is not just about calculating the number of white balls in other boxes. The whole case should be considered.
  2. L

    [Bayes' Theorem] Finding the probability of guessing correctly

    How did you calculate, for example, box 1 and white?
  3. L

    [Bayes' Theorem] Finding the probability of guessing correctly

    So I drew a tree diagram and found P(White | Not box (1/2/3)). P(White | Not box 1) = 1/3*2/3 + 1/3*3/4 = 17/36 P(White | Not box 2) = 1/3*1/2 + 1/3*3/4 = 15/36 P(White | Not box 3) = 1/3*1/2 + 1/3*2/3 = 14/36 So by using these values: P(Box 1 | white) = P(Box 1)*P(White | Box 1)/(P(Box...
  4. L

    [Bayes' Theorem] Finding the probability of guessing correctly

    No. In box 3, the probability of drawing a white ball is higher = 3/4. In other boxes: P(box 1) = 1/2 P(box 2) = 2/3
  5. L

    [Bayes' Theorem] Finding the probability of guessing correctly

    P(white) = P (total number of white balls/total number of balls) = 6/9 = 2/3
  6. L

    [Bayes' Theorem] Finding the probability of guessing correctly

    I did not calculate P(white). Instead, I calculated P(Box (1/2/3) | white) + P(Not Box (1/2/3) | Not white)
  7. L

    [Bayes' Theorem] Finding the probability of guessing correctly

    I calculated the probability of box 1/2/3 given white. P(Box 1 | white) = P(Box 1)*P(White | Box 1)/(P(Box 1)*P(White | Box 1) + P(Not Box 1)*P(White | Not Box 1)) = ((1/3)*(1/2)) / (((1/3)*(1/2) + (2/3)*(5/7) = 7/27 P(Box 2 | white) = P(Box 2)*P(White | Box 2)/(P(Box 2)*P(White | Box 2) +...
  8. L

    Finding the distribution of random variables

    Oh so X=x and Y=y have an equal distribution. I will correct it. Thank you.
  9. L

    Finding the distribution of random variables

    I understand part b now. Thank you!
  10. L

    Finding the distribution of random variables

    Sorry I am really confused about this topic.I tried to correct the mistakes by making a 10x10 table. We have the same chance of getting a number from 0 to 9, so the distribution of (X=x) should be 1/10. Since we have already picked a number for X, (Y=y) should be 1/(10-1) = 1/9?
  11. L

    Finding the distribution of random variables

    Hi. I have found the answer to a and c (I don't know whether it is correct) but I do not know what I should find in question b. Is my method correct and how should I solve part b? Thank you for your help!
  12. L

    [Statistics] Calculate the percentage

    My attempt: P(x>=90) = 85/90 = 17/18 Is my understanding of the equation correct? Thanks
  13. L

    Find the probability of different scenarios

    Summary:: Bag A contains 1 white straw, 2 red straws and 2 green straws. Bag B contains 2 white straws, 2 red straws and 1 green straw. One straw is drawn at random from each bag. Find the probabilities that (a) the two straws drawn are of the same colour; (b) one straw is red and the other...
Back
Top