Results 1 to 4 of 4

Math Help - Another binomial probability question

  1. #1
    Junior Member
    Joined
    Jun 2009
    Posts
    35

    Another binomial probability question

    1. At a fun fair booth, a signboard, as shown in Table 3, stated the criteria of winning a daily prize and a grand prize.
    Table 3
    Type of prizes
    Criteria to win the prize
    Daily prize
    Win at least 3 out of 5 games in a day
    Grand prize
    Win a daily prize in at least 4 out of 5 days
    The probability of winning a game is 0.3. Assuming that the chance of winning in one game is independent of another, what is the probability of a playerwinning
    • the daily prize?
    • the grand prize?

    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by dorwei92 View Post
    1. At a fun fair booth, a signboard, as shown in Table 3, stated the criteria of winning a daily prize and a grand prize.

    Table 3

    Type of prizes
    Criteria to win the prize
    Daily prize
    Win at least 3 out of 5 games in a day
    Grand prize
    Win a daily prize in at least 4 out of 5 days


    The probability of winning a game is 0.3. Assuming that the chance of winning in one game is independent of another, what is the probability of a playerwinning
    • the daily prize?
    • the grand prize?
    This question is done using the binomial distribution. What do you think the random variable is? What is n in each case? What is p in each case?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jun 2009
    Posts
    35
    my working is 5C3 (0.3)^3 (0.7)^2
    but my answer could not tally with the one on the answer sheet
    i suppose there should be anything mistake in this statement, but why is it that i could not get the same answer?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by dorwei92 View Post
    my working is 5C3 (0.3)^3 (0.7)^2
    but my answer could not tally with the one on the answer sheet
    i suppose there should be anything mistake in this statement, but why is it that i could not get the same answer?
    At least 3 means you have to calculate Pr(X = 3) + Pr(X = 4) + Pr(X = 5).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Probability Question (binomial distribution)
    Posted in the Statistics Forum
    Replies: 1
    Last Post: December 7th 2010, 02:17 PM
  2. Binomial Probability Question
    Posted in the Statistics Forum
    Replies: 1
    Last Post: October 9th 2010, 01:25 AM
  3. Binomial Probability Question
    Posted in the Advanced Statistics Forum
    Replies: 2
    Last Post: April 3rd 2010, 08:08 PM
  4. Binomial Probability question
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: October 22nd 2009, 12:49 PM
  5. Binomial probability question
    Posted in the Statistics Forum
    Replies: 3
    Last Post: April 14th 2009, 10:29 PM

Search Tags


/mathhelpforum @mathhelpforum