12 math

there are 8 opposite sex married couples at a party. two people are chosen at random to win a door prize.
A. what is the probability that the 2 people will be married to each other?
B. what is the probability that the 2 people will be same sex?
C. if 6 people are chosen whats the probability that they are 3 married couples?

  1. 👍 0
  2. 👎 0
  3. 👁 80
asked by Linda
  1. a) the number of ways to choose 2 out of the 16 people is C16,2) = 120
    there are 8 couples married to each other, so the prob is 8/120 = 1/15

    b) the number of ways that the two chosen are different is C(8,1)xC(8,1) = 64
    so the number of ways that they are the same is 120-64 = 56
    so prob they are the same sex = 56/120 = 7/15

    Now you try c) and explain your reasoning to us

    ("opposite sex married couples", wouldn't Sarah Palin be proud of that textbook author, lol)

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. English

    this is what i have done so far, but i need help with the rest. The type of graphs that could be used for the topic same-sex marriage, such as graphing out how many same-sex couples exist in the state of region. Than comparing the

    asked by Jennifer on April 3, 2011
  2. Math (Finite)

    In how many ways can a committee of 7 people be chosen from 15 married couples if 2 couples must be on the committee?

    asked by Stephanie on July 19, 2015
  3. American Government

    This dynamic also applies to same-sex marriage. The challenged laws burden the liberty of same-sex couples, and they abridge central precepts of equality. The marriage laws at issue are in essence unequal: Same-sex couples are

    asked by girly girl on April 29, 2018
  4. American Government

    This dynamic also applies to same-sex marriage. The challenged laws burden the liberty of same-sex couples, and they abridge central precepts of equality. The marriage laws at issue are in essence unequal: Same-sex couples are

    asked by RoxJen on April 10, 2017
  5. maths

    A committee of 4 people is to be chosen from 5 married coiples.find in how many ways the committee can be chosen if: i) everyone is equallt eligible ii) the committee should include at least one woman solution so far.5 couples=10

    asked by james007 on July 13, 2015
  6. maths

    There are 34 men and 32 women at a party. Of these, 13 men and 19 woman are married. If 2 people are chosen at random, find the probability that both will be men. Answer: 17/65 Thanks for any help

    asked by Harry on July 6, 2019
  7. Math

    After a recent series of home improvements, four couples were having a dinner party to discuss the additions to their homes. Mike had not recently had a new bathroom. Lorraine had not yet done her kitchen, but perhaps would update

    asked by Molly on January 16, 2011
  8. MATH

    At a party, married people came with their husbands or wives. if half the women and 1/6 of the men in the party were single, what percentage of the people in the room were married?

    asked by MNHS_HELP on January 8, 2015
  9. math

    Two teachers are chosen randomly from a staff consisting 3 women and 2 men to attend a HIV/AIDS seminar. Calculate the probability that the two teachers chosen are: (a) Of the same sex (b) Of opposite sex

    asked by kudu on February 20, 2015
  10. maths

    A committee of 4people is to be chosen from 5 married couples. Find in how many ways the committee can be chosen if; 1) everyone is equally eligible. 2) the committee should include at least one woman

    asked by john on November 24, 2016

More Similar Questions