Suppose you have a bag with 6 blue marbles and 4 red marbles.
Calculate the following probabilities:
a) If you randomly remove half of the marbles from the bag, what
is the probability that 3 of them are blue and 2 are red?
b) Suppose that you sample with replacement from the bag: you
take out a marble, record its color, then throw it back in. What is
the probability that you need to repeat this process exactly 10
times...
There are 12 blue marbles, and 17 red marbles in a bag. 6 of the
marbles are drawn from the bag without being replaced.
N=29 K=17 n=6
P(2 blue, 4 red)?
P(5 blue, 1 red)?
P(1 blue, 5 red)?
Odds against 2 red?
E(red)= ?
σ(blue)= ?
Show work below.
Suppose you have a bag containing 2 red marbles, 3 white
marbles, and 4 blue marbles.
a) if you draw 3 marbles simultaneously, what is the probability
that you get one of each color?
b) If you draw 3 marbles one at a time, what Is the probability
that you get one of each color?
A bag contains 7 red marbles, 5 white marbles, and 9 blue
marbles. You draw 4 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...
A bag contains 9 red marbles, 7 white marbles, and 8 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 red is (0.0118)
Incorrect
b. The probability that none of the marbles are red is 0.9882)
(Incorrect
Assume there Is a bag of 30 marbles where 15 are blue, 10 are
red, and 5 are black.
A) How many combinations are possible to choose 10 marbles?
B)How many permutations are there to choose 6 marbles where the
first marble is blue?
C) What is the probability of getting : blue, red, blue,
black?
A bag contains 4 red
marbles, 2 green ones, 2 white ones, and 1 purple one. Michelle
reaches into the bag and grabs 5 of the marbles.
1) Find the
probability that she has 2 red ones and 1 of each of the other
colors.
2) Find the
probability that she has at least 1 green marble.
Express your
answers as simplified fractions using the forward slash. Ex:
1/2
bag contains 7 red marbles, 5 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?
What is the probability that none of the marbles are red?
You have a bag of marbles. Your bag contains 75 marbles. You
only want the red marbles. You know that 30 of the marbles in the
bag are red. You randomly select two marbles from the bag and set
them aside without looking at them. Let X represent the number of
red marbles removed. (hint. This is without replacement.)
a) find the probability mass function (i.e. probability
distribution) for the number of red marbles selected.
b) find the expected number...