college math

Assume that there are 16 board members: 10 females, and 6 males including Larry. There are 4 tasks to be assigned. Note that assigning the same people different tasks constitutes a different assignment.

(1) Find the probability that both males and females are given a task.

(2) Find the probability that Larry and at least one female are given tasks.

  1. 👍 0
  2. 👎 0
  3. 👁 583
asked by Nala
  1. (1) That would be 1-(prob. of no males)- (prob. of no females).
    1 - (10*9*8*7)/(16*15*14*13)
    - (6*5*4*3)/(16*15*14*13)
    = 1 - (5040 + 360)/43680
    = 1 - 5400/43680 = 1-135/1092
    = 957/1092 = 319/364

    2) Larry will be picked in
    1 - (15/16)*(14/15)*(13*14)*(12/13)
    = 1 - 32760/43680 = 1- 819/1092
    = 273/1092 of the situations.
    Next, calculate the fraction of those situations for which the three other tasks are assigned to one or more women. Multiply 273/1092 by that factor.

    1. 👍 1
    2. 👎 0
    posted by drwls
  2. ブランドコピー通販

    ブランドコピー通販|スーパーコピーブランド|ブランドコピー販売|ブランドバッグコピー|ブランド財布コピー|

    スーパーブランドコピー商品全番。全商品はスーパーコピーN品で業界で一番よい品質です。
    ブランドコピー通販は主にルイヴィトンコピー商品、グッチコピー商品、シャネルコピー商品。
    ブランドコピーバッグ、財布、ネクタイ、シューズ、サングラス、帽子、ベルト、マフラー、傘、生地コピー、アクセサリーなどを販売しております。

    ロレックススーパーコピー、オメガスーパーコピー、IWCスーパーコピー、ウブロスーパーコピー、ブルガリスーパーコピーなどの腕時計も取り扱っております。
    営業時間 ご注文はオンラインにて年中無休、24時間受付けております。

    1. 👍 0
    2. 👎 0
  3. 新舗 新型-大注目!

    ★ 腕時計、バッグ、財布、ベルト、ジュエリー、コピーブランド
    ★経営理念:
    1.最も合理的な価格で商品を消費者に提供致します.
    2.弊社の商品品数大目で、商品は安めです]!★商品現物写真★
    3.数量制限無し、一個の注文も、OKです.
    4.1個も1万個も問わず、誠心誠意対応します.
    5.不良品の場合、弊社が無償で交換します.
    以上宜しくお願いします。
    不明点、疑問点等があれば、ご遠慮なく言って下さい.
    以上 よろしくお願いいたします。

  4. スーパーコピー高品質時計専門店
    日本最高級スーパーコピーブランド時計激安通販専門店,高品質時計コピー.
    2019最新作、国際ブランド腕時計コピー.
    業界唯一無二.世界一流の高品質ブランドコピー時計.

Respond to this Question

First Name

Your Response

Similar Questions

  1. Finite, Math, Probability

    Assume that there are 18 board members: 12 females, and 6 males including Larry. There are 3 tasks to be assigned. Note that assigning the same people different tasks constitutes a different assignment. Find the probability that

    asked by Cayla on March 4, 2013
  2. Finite, Math, Probability

    Assume that there are 18 board members: 12 females, and 6 males including Larry. There are 3 tasks to be assigned. Note that assigning the same people different tasks constitutes a different assignment. Find the probability that

    asked by Cayla on March 4, 2013
  3. Finite

    Assume that there are 18 board members: 12 females, and 6 males including Larry. There are 4 tasks to be assigned. Note that assigning the same people different tasks constitutes a different assignment.

    asked by John on February 3, 2014
  4. Finite Math

    Assume that there are 14 board members: 9 females, and 5 males including Carl. There are 4 tasks to be assigned. Note that assigning the same people different tasks constitutes a different assignment. Find the probability that

    asked by Jiali on September 10, 2012
  5. Finite, Math, Probability

    Assume that there are 17 board members: 9 females, and 8 males including Carl. There are 4 tasks to be assigned. What is the probability that at least one female and Carl are assigned tasks?

    asked by Emily on September 10, 2012
  6. data management gr.12

    In how many ways can a committee of 8 members be chosen from 7 males and 9 females if the committee must contain at least 3 males? Please verify if my solution is correct: total# of 8 members 16C8 #with NO males 7C8 # with at

    asked by Anonymous on December 22, 2016
  7. sience

    Multiple Choice 1. At the chromosomal level, what is the difference between human males and human females? (1 point) All males have a Y chromosome, and females do not. All males have an X chromosome, and females do not. All males

    asked by sadgrg on February 15, 2018
  8. Math

    A group of students who are selecting 2 of their group at random to give a report, but assume that there are 5 males and 3 females. What is the probability that 2 females are selected? 2 males?

    asked by Kelly on February 15, 2012
  9. math

    A group of students who are selecting 2 of their group at random to give a report, but assume that there are 5 males and 3 females. What is the probability that 2 females are selected? 2 males?

    asked by math hates me :( on February 15, 2012
  10. statistics

    A certain geneticist is interested in the proportion of males and females in the population that have a certain minor blood disorder. In a random sample of 1500 males, 75 are found to have disorder, whereas 80 of 2000 females

    asked by Ali on June 3, 2011

More Similar Questions