college math

posted by .

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.

• college math -

(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.

Similar Questions

1. improving it without changing its overall meaning

Ever been assigned to work on a group project for class! Many students dread group projects: because one student typically does most of the work. Unfortunately for some, group work does not end when students leave school, many employers …
2. FACS - Reading Assignment (Q2) Check

3. Explain - Why are foods-lab tasks moved from one person to another?
3. math

If your class has 10 males and 14 females in it, how many different committees consisting of 4 males and 4 females may be chosen.
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. 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?
6. Composition

Revise the following paragraph, improving it without changing its overall meaning. Pay particular attention to sentence structure. Ever been assigned to work on a group project for class! Many students dread group projects: because …
7. English

Revise the following paragraph, improving it without changing its overall meaning. Pay particular attention to sentence structure. Ever been assigned to work on a group project for class! Many students dread group projects: because …
8. 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 …
9. 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 …
10. 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.

More Similar Questions