Probability Pþease helpp

posted by .

Select numbers a and b between 0 and 1
independently and at random, and let c be their sum. Let A, B, and C be the results when a, b, and c, respectively, are rounded to the nearest integer. What is the probability that A + B = C?

  • Probability Pþease helpp -

    If a and b are decimals between 0 and 1, then
    A and B could be either 0 or 1
    The prob of a rounded up to 1 is 1/2 and
    the prob of a becoming 0 is 1/2

    forming a table:
    A B -----C
    0 0 ----- 0 e.g. .2+.1 = .3 --> 0
    0 0 ----- 1 e.g. .4 + .4 = .8 ---> 1 ...... FALSE
    0 1 ----- 1 e.g. .4 + .9 = 1.3 ---> 1
    1 0 ----- 1 e.g. .9+.4 = 1.3 --> 1
    1 1 ----- 1 e.g. .6 + .6 = 1.2 ---> 1 ... FALSE
    1 1 ----- 2 e.g. .9+.9 = 1.8 ---> 2

    I see 4 cases out of the 6 where A+B = C
    so prob = 4/6 = 2/3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. probability

    A random experiment of tossing a die twice is performed. Random variable X on this sample space is defined to be the sum of two numbers turning up on the toss. Find the discrete probability distribution for the random variable X and …
  2. Probability Pþease helpp

    Tina randomly selects two distinct numbers from the set {1, 2, 3, 4, 5}, and Sergio randomly selects a number from the set {1, 2, . . . , 10}. The probability that Sergio’s number is larger than the sum of the two numbers chosen …
  3. Math-Probability

    Consider a collection of n biased coins, each showing Heads with probability p and Tails with probability 1-p , independently of the others. The coins are tossed and all coins showing Heads are collected together and tossed again. …
  4. statistics

    400 draws are made at random with replacement from 5 tickets that are marked -2, -1, 0, 1, and 2 respectively. Find the expected value of: 1. the number of times positive numbers appear 2. the sum of all the numbers drawn 3. the sum …
  5. statistics

    Let x and y be the amounts of time (in minutes) that a particular commuter must wait for a train on two independently selected days. Define a new random variable w by w = x + y, the sum of the two waiting times. The set of possible …
  6. probability

    Alice and Bob each choose at random a real number between zero and one. We assume that the pair of numbers is chosen according to the uniform probability law on the unit square, so that the probability of an event is equal to its area. …
  7. probability

    A fair coin is flipped independently until the first Heads is observed. Let K be the number of Tails observed before the first Heads (note that K is a random variable). For k=0,1,2,…,K, let Xk be a continuous random variable that …
  8. Math

    Fifty numbers are rounded off to the nearest integer and then summed. If the individual round off errors are uniformly distributed between -0.5 and 0.5 , what is the approximate probability that the resultant sum differs from the exact …
  9. Statistics

    Let x and y be the amounts of time (in minutes) that a particular commuter must wait for a train on two independently selected days. Define a new random variable w by w = x + y, the sum of the two waiting times. The set of possible …
  10. Algebra

    You have the numbers 1-25 written on slips of paper. If you choose a slip at random, what is the probability that you will select a number that is divisible by 4?

More Similar Questions