Question

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, six yellows, and three orange marbles. HINT [See Example 7.]

How many sets of four marbles include all the red ones?

4) A bag contains three red marbles, two green ones, one lavender one, six yellows, and six orange marbles. HINT [See Example 7.]

How many sets of four marbles include one of each color other than lavender?

5) A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.]

How many sets of five marbles include at least two red ones?

6) A bag contains three red marbles, one green one, one lavender one, three yellows, and two orange marbles. HINT [See Example 7.]

How many sets of five marbles include at most one of the yellow ones?

7) A bag contains three red marbles, four green ones, one lavender one, two yellows, and four orange marbles. HINT [See Example 7.]

How many sets of five marbles include at least one yellow one but no green ones?

8) Consider a bag containing five red marbles, two green ones, one transparent one, five yellow ones, and two orange ones.

How many sets of five marbles include at most one of the red ones but no yellow ones?

(please help with as many as possible and/or show example of how to solve these kinds of problems. I've ran out of questions and I need help :( thank you)

Answer #1

1A. A bag contains 4 red marbles, 3 green ones, 1 lavender one,
3 yellows, and 2 orange marbles. HINT [See Example 7.]
How many sets of five marbles include at most one of the yellow
ones?
_______ Sets.
1B.A bag contains 2 red marbles, 6 green ones, 1 lavender one, 4
yellows, and 2 orange marbles. HINT [See Example 7.]
How many sets of five marbles include either the lavender one or
exactly one yellow one but not both...

A bag contains three red marbles, three green ones, one lavender
one, three yellows, and three orange marbles. HINT [See Example
7.]
How many sets of five marbles include at least two red ones?

A bag contains three red marbles, two green ones, one lavender
one, three yellows, and three orange marbles.
How many sets of five marbles include at most one of the yellow
ones?

A bag contains 5 red marbles, 3 green ones, 1 lavender one, 3
yellows, and 2 orange marbles. HINT [See Example 7.] How many sets
of five marbles include at most one of the yellow ones?

A bag contains 2 red marbles, 4 green ones, 1 lavender one, 6
yellows, and 5 orange marbles. HINT [See Example 7.] How many sets
of five marbles include either the lavender one or exactly one
yellow one but not both colors?

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?

A bag contains two red marbles, four green ones, one transparent
one, two yellow ones, and two orange ones. You select three at
random. Compute the probability of the given event. (Enter your
probability as a fraction.) You have selected all the red ones.

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...

A bag contains 4 red marbles, 3 green ones, 2 white marbles, and
2 pink marbles. HINT [See Example 7.] You randomly grab 8 marbles.
What is the probability that this set will contain all the red
marbles?

Use the counting techniques from the last chapter. A bag
contains three red marbles, four green ones, one fluorescent pink
one, three yellow ones, and three orange ones. Suzan grabs four at
random. Find the probability of the indicated event.
She gets all the red ones, given that she gets the fluorescent
pink one.

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