1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fantom [35]
3 years ago
8

In a church wing with 8 men and 10 women members find the probability that a 5 member committee chosen randomly will have.......

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0

Answer:

a) Probability that a 5 member committee will have all men = 0.0065

b) probability that a 5 member committee chosen randomly will have 3 men and 2 women = 0.294

Step-by-step explanation:

Number of men = 8

Number of women = 10

Total number of members = 10 + 8 = 18

Probability = (Number of possible outcomes)/(Total number of outcomes)

Number of ways of selecting a 5 member committee from 18 people = ^{18}C_5 = \frac{18!}{(18-5)!5!} = \frac{18!}{13!5!} = 8568 ways

a) Probability that a 5 member committee will have all men

Number of ways of selecting 5 men from 8 men

= ^8C_5 = \frac{8!}{(8-5)!5!} = \frac{8!}{3!5!} = 56 ways

Probability that a 5 member committee will have all men = 56/8568

Probability that a 5 member committee will have all men = 0.0065

b)probability that a 5 member committee chosen randomly will have 3men and 2 women​

Number of ways of selecting 3 men from 8 men

=  ^8C_3 = \frac{8!}{(8-3)!3!} = \frac{8!}{5!3!} = 56 ways

Number of ways of selecting 2 women from 10 men

=  ^{10}C_2 = \frac{10!}{(10-2)!2!} = \frac{10!}{8!2!} = 45 ways

Number of ways of selecting 3 men and 2 women = 56*45

Number of ways of selecting 3 men and 2 women = 2520

Probability of selecting 3 men and 2 women = 2520/8568 = 0.294

probability that a 5 member committee chosen randomly will have 3 men and 2 women = 0.294

You might be interested in
The following set of ordered pairs represent a function:
MAXImum [283]
Eeeeeeeeeeeeeeeeeeeeeeeee
4 0
2 years ago
What 'a the answer to this
Margaret [11]
X equals 53/11 , y equals -16/11
6 0
2 years ago
Someone help me.... if u guys geniussssss​
Goshia [24]

Answer: For a) the Factor is (x+2) (x+1)

Step-by-step explanation: Because (x+2) multiplied by (x+1) gives you x2 + 3x +2.

I don't know your language so I don't know if that was the question or what the other questions were asking, but that's the best I can do

5 0
2 years ago
What number is indicated on the number line
g100num [7]
Depends on the number line my guy
3 0
3 years ago
Read 2 more answers
Can anyone help me I don’t understand plz
Citrus2011 [14]

There we have an information of two functions g(t)\,  and \, h(t)

Using this two functions g(t)\,  and \, h(t), we need to find the composition of functions (h\circ g)(t).

The composition of two functions h and g is the new function , by performing g first and then performing h.

(h\circ g)(t)=h(g(t))

g(t)=3(t+1)

h(t)=2t

Composition of h and g (t) = (h\circ g)(t)

=h(g(t))

First plugin the value of g(t)=3(t+1)

h(g(t))=h(3(t+1))

=h(3t+3)

We know that h(t)=2t, we need to find h(3t+3),

That is, to replace t by 3t+3,

=2(3t+3)

Now distribute 2 into 3t+3,

=6t+6

Now plug in t=-6,

h(g(-6))=6(-6)+6

=-36+6 \\ =-30

Thus the solution is (D). h(g(-6))=-30.

5 0
3 years ago
Read 2 more answers
Other questions:
  • While walking for exercise, Mia is able to walk only 3\4 as far on Saturday she walks 1 1/2 miles. How many miles did she walk F
    6·1 answer
  • 19 is five less than twice a number
    15·2 answers
  • Which of the following statements are not true?
    15·1 answer
  • What is the measure of angle x, In degrees?<br><br> Helps please!!
    7·2 answers
  • What is 62.83 rounded to the nearest whole unit
    5·2 answers
  • ဇကis2/4 greater than or less than 2/3<br>​
    11·1 answer
  • 5y - 4x = -7<br> 2y + 4x = 14<br> Solve the system of equation
    14·1 answer
  • X²-10xy + 16y²-z² + 6yz​
    13·1 answer
  • Please answer, any good answer will get brainliest.
    7·2 answers
  • Each square below represents one wnole.<br> What percent is represented by the shaded area?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!