Results 1 to 2 of 2
Like Tree1Thanks
  • 1 Post By SlipEternal

Thread: Probability based question

  1. #1
    Newbie
    Joined
    Aug 2018
    From
    Around the place
    Posts
    1

    Exclamation Probability based question

    Consider two independent events, A and B, where the P(A) is 0.45 and the probability that A does not occur or B occurs is 0.70. Determine the probability that event B occurs.

    Any help is greatly appreciated
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2010
    Posts
    3,681
    Thanks
    1491

    Re: Probability based question

    Two independent events means that $P(A\text{ and }B) = P(A)P(B)$.

    $$P(\text{not }A\text{ or }B) = P(\text{not }A)+P(B) - P(\text{not }A\text{ and }B) = (1-P(A))+P(B) - (1-P(A))P(B)$$

    Plugging in the numbers you know:

    $$0.7 = (1-0.45)+P(B)-(1-0.45)P(B)$$

    $$0.15 = 0.45P(B)$$

    $$P(B) = \dfrac{1}{3}$$
    Thanks from Vinod
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: Aug 17th 2011, 05:06 AM
  2. Replies: 4
    Last Post: Jan 6th 2010, 07:34 PM
  3. Calculating a new probability based on a scenario
    Posted in the Statistics Forum
    Replies: 0
    Last Post: Dec 10th 2009, 03:49 AM
  4. sample selection based on unequal probability
    Posted in the Statistics Forum
    Replies: 5
    Last Post: Nov 10th 2009, 04:58 PM
  5. Calculus based probability book
    Posted in the Advanced Statistics Forum
    Replies: 10
    Last Post: Jun 9th 2007, 06:32 PM

Search Tags


/mathhelpforum @mathhelpforum