# math

A bag contains 5 red marbles, 6 white marbles, and 8 blue marbles. You draw 5 marbles out at random, without replacement. What is the probability that all the marbles are red?
The probability that all the marbles are red is?
What is the probability that exactly two of the marbles are red?
The probability that exactly two of the marbles are red is ?
What is the probability that none of the marbles are red?
The probability of picking no red marbles is ?

1. 👍
2. 👎
3. 👁
1. prob(all 5 are red)
= (5/19)(4/18)(3/17)(2/16)(1/15)
= 1/11628

or , if you know how to calculate combinations
= C(5,5)/C(19,5)
= 1/11628

from here we can do
prob(no red) = 1 - 1/11628 = 11627/11628

prob(exactly 2 are red)
= C(5,2)xC(14,3)/C(19,5)
= 10(364)/11628
= 91/2907

1. 👍
2. 👎
2. trwytyhws

1. 👍
2. 👎

## Similar Questions

1. ### statistics

A bag contains 7 red marbles, 6 white marbles, and 10 blue marbles. You draw 4 marbles out at random, without replacement. What is the probability that all the marbles are red? What is the probability that exactly two of the

2. ### Math

A bag contains 9 red marbles, 8 white marbles, and 6 blue marbles. You draw 4 marbles out at random, without replacement. What is the probability that all the marbles are red? 1 The probability that all the marbles are red is...?

3. ### Math

A bag contains 6 red marbles, 3 white marbles, and 7 blue marbles. You pick a marble without looking. Find the probability of drawing a white marble. Can someone please explain how I would work this out?

4. ### statistics probability

A bag contains 8 red marbles, 5 white marbles, and 6 blue marbles. You draw 4 marbles out at random, without replacement. Find the following probabilities and round to 4 decimal places. a. The probability that all the marbles are

1. ### Probability

jeff has 8 red marbles, 6 blue marbles, and 4 green marbles that are the same size and shape. he puts the marbles into a bag, mixes the marbles, and randomly picks one marble. what is the probability that the marble will be blue?

2. ### Math :)

In a bag of 10 marbles, there are 5 blue marbles, 3 red marbles, and 2 white marbles. Complete the probability distribution table for drawing 1 marble out of the bag. Draw a: Probability Blue marble 5/10 Red marble 3/10 White

3. ### math

A bag contains 8 red marbles, 5 blue marbles, 8 yellow marbles, and 6 green marbles. What is the probability of choosing a red marble if a single choice is made from the bag? is it 8/27 ?

4. ### Math

One bag contains 5 red marbles, 4 blue marbles, and 3 yellow marbles, and a second bag contains 4 red marbles, 6 blue marbles, and 5 yellow marbles. If Lydia randomly draws one marble from each bag, what is the probability that

1. ### Stat

A bag contains 5 red marbles, 9 white marbles, and 5 blue marbles. You draw 4 marbles out at random, without replacement. What is the probability that all the marbles are red?

2. ### Maths

A bag contains marbles of three different colours red, blue , yellow. 2/5 of the marbles are red. The ratio of the number of blue marbles to the number of yellow marbles is 5:7. What fraction of the marbles in the bag is blue?

3. ### math check probability

5. A bag contains 7 green marbles and 4 white marbles. You select a marble at random. What are the odds in favor of picking a green marble? A. 7:11**? B. 7:4 C. 4:7 D. 3:7 ------------------------------------ 6. Food Express is