Results 1 to 2 of 2

Math Help - [SOLVED] Probability Problem

  1. #1
    Junior Member
    Joined
    Jan 2009
    Posts
    74

    [SOLVED] Probability Problem

    A consumer organization estimates that over a 1-year period 17% of cars will need to be repaired once, 7% will need repairs twice, and 4% will require three or more repairs. If you own 2 cars, what is the probability that

    a) neither will need repair?
    b) both will need repair?
    c) at least one car will need repair?

    I'm studying for a test! I understand how you would find the probability for 1 car chosen at random, but not for 2 cars.

    Thanks for the help!!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jul 2009
    Posts
    593
    Thanks
    4
    You are given three probabilities corresponding to P(X=1, 2 or 3), where X is the number of times a particular car will need a repair. The probability that one car will need a repair is independent of the probability that another car will need a repair. Armed with this knowledge you can set up some equations:

    1. P(Neither Car Will Need Repair). If neither car will need a repair, that means that both cars are fine right? So that means that the P(0)=0.72 (be sure you understand how I got this). We established that the probability that one car needs repair is independent of the other so the probability that they BOTH will not need to be repaired is (0.72)(0.72)=0.5184 chance that neither car will need to be repaired.

    I will leave the remaining two to you, but part of the problem in solving these is not only understanding some of the properties of probability, but understanding WHAT the question is asking. Questions one and two are "AND" statements, and question three is an "OR" statement.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] probability word problem help
    Posted in the Statistics Forum
    Replies: 4
    Last Post: May 2nd 2010, 01:27 AM
  2. [SOLVED] Probability problem again..please help..
    Posted in the Statistics Forum
    Replies: 4
    Last Post: February 16th 2009, 01:10 AM
  3. [SOLVED] Probability problem..please help!
    Posted in the Statistics Forum
    Replies: 2
    Last Post: February 14th 2009, 03:48 AM
  4. [SOLVED] Probability problem check please
    Posted in the Statistics Forum
    Replies: 10
    Last Post: January 15th 2009, 12:26 AM
  5. [SOLVED] Probability problem
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: January 5th 2009, 09:58 AM

Search Tags


/mathhelpforum @mathhelpforum