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).

1. A bag contains one green marble, two yellow marbles, four
blue marbles, and five red marbles.
a. What is the theoretical probability of randomly drawing a
blue marble from the bag?
b. If you triple the number of green, yellow, blue, and red
marbles in the bag, what will be the theoretical probability of
drawing a blue marble?
C. Compare your answers for part (a) and (b). Are they the same
or different? Explain.
d. How many blue marbles...

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...

1) A bag contains two red marbles, two green ones, one lavender
one, three yellows, and three orange marbles. HINT [See Example
7.]
How many possible sets of four marbles are there?
2) A bag contains five red marbles, three green ones, one
lavender one, three yellows, and two orange marbles. HINT [See
Example 7.]
How many sets of four marbles include none of the red ones?
3) A bag contains three red marbles, three green ones, one
lavender one,...

2. A bag contains 24 red marbles and 6 blue marbles. We select 4
marbles from the bag at random. (b) What is
the probability at least one of the marbles is blue. (b) What is
the probability at most one of the selected marbles
is blue.

Urn 1 contains 8 red and 6 Blue marbles and Urn 2 contains 5 red
marbles and 4 blue marbles. A marble is randomly selected from Urn
1 and Placed in Urn 2. A marble is then drawn from Urn 2
a. What is the probability that the marble drawn from Urn 2 is
red?
b. What is the conditional probability that the ball drawn from
Urn 1 is red, given that a blue marble is drawn from Urn 2?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 4 minutes ago

asked 28 minutes ago

asked 35 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago