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Math Help - probability combinations n permutations

  1. #1
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    Cool probability combinations n permutations

    hello peeps, this is my first thread.......

    i'd rather if a similar example was given instead of the questions actuall awnser---

    random names are placed in a hat- i select 5 at a time each time writing down the names and putting names back in.
    so each line has 5 names.......the hat has 8(4 male,4 female) names in it
    ...............................

    what is the probability that in one line 4 male names followed by 1 female name-no reptition.....

    thanks in advance
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  2. #2
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    Quote Originally Posted by npm1 View Post
    hello peeps, this is my first thread.......

    i'd rather if a similar example was given instead of the questions actuall awnser---

    random names are placed in a hat- i select 5 at a time each time writing down the names and putting names back in.
    so each line has 5 names.......the hat has 8(4 male,4 female) names in it
    ...............................

    what is the probability that in one line 4 male names followed by 1 female name-no reptition.....

    thanks in advance
    Suppose you ask five random people to each pick a number between 1 and 10, and they don't get to hear what the other people are saying.
    What are the chances that 4 even numbers are picked, followed by 1 odd number, and that none of them chose the same number.

    For the first number picked there is a 5/10 chance that it will be even.
    For the second number picked there is a 4/10 chance that it will be even AND different to the previous numbers.
    For the third number there is a 3/10 chance that it will be even and different.
    For the fourth number there is a 2/10 chance that the number will be even and different, and finally
    for the fifth number there is a 5/10 chance that it will be odd (and if so is clearly different to the previous numbers).

    The chance of all these being true is:
    5/10 * 4/10 * 3/10 * 2/10 * 5/10. = 3/50
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