A committee of 3 people is selected at random from 4 men and 8 women. What...
A committee of 3 people is selected at random from 4 men and 8 women. What is the probability that the the committee contains both men and women given that the committee is not composed of all men?
Homework Answers
number of ways not composed of all men =N(total number of ways)-N(number of ways with all men)
=(12C3)-(4C3)=220-4 =216
number of ways contains both men and women =N(total number of ways)--N(number of ways with all men)--N(number of ways with all women)
=(12C3)-(4C3)-(8C3)=220-4-56 =160
therefore probability that the the committee contains both men and women given that the committee is not composed of all men =160/216 =20/27
Add Answer to:
A committee of 3 people is selected at random from 4 men and 8
women. What...
A committee of 5 people is to be selected from 6 women and 7 men. Find the probability that a) all committee members are men.
A committee of 5 people is to be selected from 6 women and 7 men. Find the probability thata) all committee members are men.
A committee of 3 is to be selected from a group of 4 men and 4...
A committee of 3 is to be selected from a group of 4 men and 4 women. It is selected randomly. What is the probability that the committee has at least one woman?
A committee of 3 is to be selected from a group of 4 men and 4...
A committee of 3 is to be selected from a group of 4 men and 4 women. Suppose the selection is made randomly. What is the probability that the committee consists of at least one women?
A committee of 5 people must be selected from 10 men and 5 women. How many...
A committee of 5 people must be selected from 10 men and 5 women. How many different ways this can be done If there must be 3 men and 2 women in each committee?
Two people are selected at random from a group of seven women and nine men. Find...
Two people are selected at random from a group of seven women and nine men. Find the probability of the following. (See Example 9. Round your answers to three decimal places.) (a) both are men or both are women (b) at least one is a woman
A committee of 6 people is to be chosen from a group consisting of 7 men...
A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. The committee must consist of at least 3 women and at least 2 men. (a) How many different committees are possible? (b) What is the probability that the committee consists of 2 men and 4 women?
A committee of 3 is to be selected from a group of 4 men and 4...
A committee of 3 is to be selected from a group of 4 men and 4
women. Suppose the selection is made randomly. What is the
probability that the committee consists of at least one women?
We have to use this formula to solve.
We'll often need count the number of ways of sampling k of n items. You may recall this as "n choose k" denoted as n! k!(n - k)! k/
2. A committee of 3 is to be selected from a group of 4 men and...
2. A committee of 3 is to be selected from a group of 4 men and
4 women. Suppose the selection is made randomly. What is the
probability that the committee consists of at least one women?
use this formula to solve.
We'll often need count the number of ways of sampling k of n items. You may recall this as "n choose k" denoted as n! k!(n - k)! k/
1. (a) A committee of 6 people is to be chosen at random in a Club...
1. (a) A committee of 6 people is to be chosen at random in a Club which has a membership of 20 men and 30 women. What is the probability that 6 marks 6 marks 8 marks] (b) In a factory there are three machines which produce bolts. Machine A pro- duces 50% of the bolts and of these 2% are faulty. Machine B produces 20% of the bolts and of these 1.5% are faulty, and Machine C produces 30%...
22. Committee A committee consisting of four women and three men will randomly select two people...
22. Committee A committee consisting of four women and three men will randomly select two people to attend a conference in Hawaii. Find the probability that both are women.
A committee of 6 people is to be chosen from a group consisting of 7 men and 8 women. The committee must consist of at least 3 women and at least 2 men. (a) How many different committees are possible? (b) What is the probability that the committee consists of 2 men and 4 women?
A committee of 3 is to be selected from a group of 4 men and 4
women. Suppose the selection is made randomly. What is the
probability that the committee consists of at least one women?
We have to use this formula to solve.
We'll often need count the number of ways of sampling k of n items. You may recall this as "n choose k" denoted as n! k!(n - k)! k/
2. A committee of 3 is to be selected from a group of 4 men and
4 women. Suppose the selection is made randomly. What is the
probability that the committee consists of at least one women?
use this formula to solve.
We'll often need count the number of ways of sampling k of n items. You may recall this as "n choose k" denoted as n! k!(n - k)! k/
1. (a) A committee of 6 people is to be chosen at random in a Club which has a membership of 20 men and 30 women. What is the probability that 6 marks 6 marks 8 marks] (b) In a factory there are three machines which produce bolts. Machine A pro- duces 50% of the bolts and of these 2% are faulty. Machine B produces 20% of the bolts and of these 1.5% are faulty, and Machine C produces 30%...
22. Committee A committee consisting of four women and three men will randomly select two people to attend a conference in Hawaii. Find the probability that both are women.
Most questions answered within 3 hours.
-
Lower Equitorial and Upper Equitorial are the same except Lower
Equitorial has a larger capital stock....
asked 2 minutes ago -
how do you think that pH of a jar where you have added a certain
amount...
asked 12 minutes ago -
If the Federal Reserve increases the reserve requirement, what
will happen to the Money Supply in...
asked 6 minutes ago -
Suppose that market demand for a good is given by Q = 9 - 0.3 P...
asked 13 minutes ago -
two thin lenses are separated by a distance x. The first lens
has a focal length...
asked 14 minutes ago -
The computer that controls a bank's automatic teller machine
crashes a mean of 0.6 times per...
asked 18 minutes ago -
`1) How is -9 (base 10) represented in 8-bit two's complement
notation?
a) 00001001
b)11110111
c)11110110...
asked 28 minutes ago -
A 10.000 g sample of water contains 11.19% H by mass. what
should be the %H...
asked 45 minutes ago -
Consider an investment game among 2 players. Each player can
either invest,
i, or not invest,-i....
asked 43 minutes ago -
The time taken to complete a particular task is normally
distributed with a standard deviation of...
asked 53 minutes ago -
we have heteroskedasticity in a regression when:
When the variance of error terms changes when an...
asked 1 hour ago -
Explain some different types of fungi. State the different
divisions undergo by fungi.
asked 1 hour ago