Finite, Math, Probability

posted by .

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?

  • Finite, Math, Probability -

    number of task assignments without restrictions = C(17,4) = 2380

    Carl ---- C
    Female --F
    Male ----M

    cases:
    CFMM --- 1*C(9,1)*C(7,2) = 189
    CFFM ----1*C(9,2)*C(7,1) = 252
    CFFF -----1*C(9,3)*C(7,0) = 84

    total cases with Carl and at least one female = 525

    prob of the event as stated = 525/2380 = 15/68

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 …
  2. Finite Math

    Assume that you have a total of 15 people on the committee: 5 black males, 5 black females, 1 white male, and 4 white females. Party rules require that at least one black and at least one female hold one of the three offices. In how …
  3. Math-Probability

    Michael is one of eight contestants entered in three races to be run on a eight-lane track. If in each race the runners are assigned to the lanes at random, what is the probability that Michael will be assigned to the inside lane at …
  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 Carl …
  5. College Finite

    Assume that you have a total of 9 people on the committee: 2 black males, 1 black female, 1 white male, and 5 white females. Party rules require that at least one black and at least one female hold one of the three offices. In how …
  6. 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 both …
  7. 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 both …
  8. 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.
  9. Statistics

    In a population, heights of males are normally distributed with u=180 cm and sigma^2=16 cm^2, while the heights of females are normally distributed with u=170 cm and sigma^2= 25 cm^2. a) One random male and one random female are selected …
  10. MATH

    The odds in favor of Carl beating his friend in a round of golf are 7 : 4. Find the probability that Carl will lose. would the answer be 7/11?

More Similar Questions