Results 1 to 3 of 3

Math Help - Homework is stumping me. Just need help with these 8.

  1. #1
    Newbie
    Joined
    Nov 2012
    From
    Phoenix
    Posts
    2

    Homework is stumping me. Just need help with these 8.

    1. Based on his skill in basketball, it was computed that when Joe threw a free throw, the odds in favor of his making it were 4 to 28 find the probability that when Joe shot a free throw he made it. Out of every 100 free throws he attempted on the average how many did he miss.

    2. From 9 names on a ballot, a committee of 5 will be elected to attend a political national convention. How many committees are possible.

    3. You are dealt one card from a 52- card deck. Find the probability that you are dealt a numbered card or a spade.

    4.A set of data items is normally distributed with a mean of 500. Find the data item in this distribution that corresponds to the given z-score.
    z=1.5 if the standard deviation is 50

    5. A teacher and 12 students are to be seated along a bench in the bleachers. In how many ways can this be done if the teacher must be seated in the middle and the one difficult student in the class must sit to the teachers immediate left?

    6. An ice chest contains 4 cans of apple juice, 3 cans of grape juice, 9 cans of orange juice and 2 cans of pineapple juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting no grape juice.

    7. In a contest in which 10 contestants are entered, in how many ways can 4 distinct prizes be awarded.

    8.You are dealt 6 cards from a shuffled deck of 52. find the probability of getting 3 jacks and 3 aces.

    Thanks for reading. any help is appreciated.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,683
    Thanks
    615

    Re: Homework is stumping me. Just need help with these 8.

    Hello, juan62488!

    Problem #2, 6 and 7 are very basic problems.
    If you can't do those, no wonder you're having difficulty.

    I'm certain that these 8 problems is your entire assignment.
    I can't imagine any problem that you could solve.



    2. From 9 names on a ballot, a committee of 5 will be elected to attend a political national convention.
    How many committees are possible?

    This is a Combinations problem.
    Choosing 5 objects from 9, there are: . _9C_5 \:=\:{9\choose5} \:=\:\frac{9!}{5!\,4!} \:=\: 126 ways.




    5. A teacher and 12 students are to be seated along a bench in the bleachers.
    In how many ways can this be done if the teacher must be seated in the middle
    and the one difficult student in the class must sit to the teachers immediate left?

    There are 13 people to arrange in a row.

    Duct-tape the teacher and the difficult student together: . \boxed{TS}

    Now we have 12 "people" to arrange:
    . . [TS] and the 11 other students.

    Consider the 12 positions: ._ _ _ _ _ _ _ _ _ _ _ _

    Since the teacher must be "in the middle",
    . . [TS] cannot occupy the first seat; it has 11 choices of seats.
    Then the other 11 students can be seated in 11! ways.

    Therefore, there are: 11\cdot 11! \,=\,439,\!084,\!800 ways.




    8.You are dealt 6 cards from a shuffled deck of 52.
    Find the probability of getting 3 Jacks and 3 Aces.

    There are: . _{52}C_6 \:=\:{52\choose6} \:=\:\frac{52!}{6!\,46!} \:=\:20,\!358,\!520 possible outcomes.


    We want 3 of the 4 available Jacks: . _4C_3 \,=\,4 ways.
    We want 3 of the 4 available Aces: . _4C_3 \,=\,4 ways.

    Hence, there are:. 4\cdot4 \,=\,16 ways to get 3 Jacks and 3 Aces.


    Therefore: . P(\text{3 Jacks, 3 Aces}) \;=\;\frac{16}{20,\!358,\!520} \;=\;\frac{2}{2,\!544,\!815}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,845
    Thanks
    320
    Awards
    1

    Re: Homework is stumping me. Just need help with these 8.

    Quote Originally Posted by juan62488 View Post
    1. Based on his skill in basketball, it was computed that when Joe threw a free throw, the odds in favor of his making it were 4 to 28 find the probability that when Joe shot a free throw he made it. Out of every 100 free throws he attempted on the average how many did he miss.

    3. You are dealt one card from a 52- card deck. Find the probability that you are dealt a numbered card or a spade.

    4.A set of data items is normally distributed with a mean of 500. Find the data item in this distribution that corresponds to the given z-score.
    z=1.5 if the standard deviation is 50

    6. An ice chest contains 4 cans of apple juice, 3 cans of grape juice, 9 cans of orange juice and 2 cans of pineapple juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting no grape juice.

    7. In a contest in which 10 contestants are entered, in how many ways can 4 distinct prizes be awarded.
    Being that this is for a homework assignment, please show work on these if you want further help.

    -Dan
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Pattern question is stumping me!
    Posted in the Algebra Forum
    Replies: 3
    Last Post: October 20th 2010, 11:11 AM
  2. Simple question but stumping me - on ratio of areas
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: August 6th 2010, 01:08 AM
  3. Another word problem that's stumping me
    Posted in the Algebra Forum
    Replies: 3
    Last Post: May 29th 2010, 01:22 PM
  4. Quiz Algo stumping me
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: April 7th 2008, 10:50 AM
  5. I need help on these 3 stumping problems
    Posted in the Trigonometry Forum
    Replies: 0
    Last Post: November 28th 2007, 03:35 PM

Search Tags


/mathhelpforum @mathhelpforum