Question

1.A bag contains 5blue, 4 red, and 3green marbles. Four marbles are drawn at random from the bag. How many different samples are possible which include exactly two red marbles?

2.A bag contains 5 blue, 3 red, and 4 green marbles. Four marbles are drawn at random from the bag. How many different samples are possible which include at least one marble of each color

Answer #1

1. There must two red marbles out of four marbles.

So, the possible combinations would be:

i) 2 red, 1 blue and 1 green

ii) 2 red and 2 blue

iii) 2 red and 2 green

Hence, assuming the marbles of same colors are identical, three different samples are possible. (Ans).

2. There must be at least one marble of each color out of 4 marbles.

So, the possible combinations would be:

i) 2 red, 1 blue and 1 green

ii) 1 red, 2 blue and 1 green

iii) 1 red 1 blue and 2 green

So, assuming the marble of same colors are identical, 3 different samples are possible. (Ans).

A bag contains 3 red marbles, 5 blue marbles, 8 yellow marbles,
and 7 green marbles. What is the probability of choosing a yellow
or green marble when one marble is drawn?

A bag contains 3 red marbles, 5 blue marbles, 8 yellow marbles,
and 7 green marbles. What is the probability of choosing a yellow
or green marble when one marble is drawn?

A bag contains three red marbles, one yellow marble, and six
green marbles. Two marbles are drawn from the bag with replacement.
One marble is drawn, the color is recorded, and the marble is
returned to the bag. A second marble is drawn from the bag and the
color is recorded.
a. What is the probability that both marbles are yellow?
b. What is the probability that both marbles are red?
c. What is the probability of drawing one green...

**ASAP**
A bag contains 7yellow marbles, 10 red marbles, 6 green marbles.
If one marble is drawn from the bag then replaced, what is the
probability of drawing a yellow marble then a green marble?
In a number guessing game. You ask a person to guess a number from
one 1 to 10. If the person makes a random guess, what is the
probability their guess will be less than 8?
A bag contains 10 blue marbles, 6...

A bag contains 8 blue marbles, 3 red marbles, 7 yellow marbles.
If one marble is drawn from the bag then replaced, what is the
probability of drawing a blue marble then a yellow marble?
In a number guessing game. You ask a person to guess a number
from one 1 to 10. If the person makes a random guess, what is the
probability their guess will be less than 3?
A bag contains 3 white marbles, 7 yellow marbles,...

1. A bag contains 10 black marbles, 8 red marbles, 7
yellow marbles. If one marble is drawn from the bag then replaced,
what is the probability of drawing a black marble then a yellow
marble?
2. In a number guess game you ask a person to guess a
number from 1 to 10. If the person makes a random guess, what is
the probability their guess will be less than 4?
3. A bag contains 8 blue marbles, 7...

Select 5 marbles at random from a jar with 8-red,
3-blue,2-purple, 3-black and 4- green.
What is probability that all are blue marbles?
What is probability of selecting 2-blue and 3-red marble?
What is probability of selecting one of each color?
What is probability of selecting at least 2 green marbles?

A bag contains 7 purple marbles and 4 red marbles. One marble is
drawn and not replaced. Then a second marble is drawn.Draw a tree
diagram to represent this scenario and show the probability on each
branch.

A bag contains 10 red marbles, 5 white marbles, and 5 blue
marbles. You draw 5 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 marbles are
red?
What is the probability that none of the marbles are red?

a)A bag contains 4 red marbles, 2 green ones, 1 lavender one, 2
yellows, and 3 orange marbles.
How many sets of five marbles include at most one of the yellow
ones?
b)A bag contains 3 red marbles, 6 green ones, 1 lavender one, 6
yellows, and 5 orange marbles.
How many sets of five marbles include either the lavender one or
exactly one yellow one but not both colors?

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