Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful...

Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, three green ones, five white ones, and three purple ones. She grabs five of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.]

O BJECTIVE:

She has two red ones and one of each of the other colors.

Solutions

Expert Solution

Total no. of marbles in the bag = 15

Red = 4

Green = 3

White = 5

Purple = 3

She picks out 5 marbles.

Probability that she picks 2 red , 1 green , 1 Purple, 1 white =

Now Since we are calculating Probability we need to Consider all the Same colour marbles as distinct marbles.

No. of ways to pick group of r things out of n things where order does not matter is given by combination

So Total No of ways of choosing 5 marbles out of 15 marbles

No of ways to Pick 2 red out of 4 red marbles =

NO. of ways to Pick 1 green out of 3 green marbles =

No of ways to Pick 1 white out of 5 white marbles =

No of ways to Pick 1 purple out of 3 purple marbles =

NO . of way to choose 2 red , 1 green , 1 Purple, 1 white marbles together =

Required probability =

orchestra answered 2 years ago

Next > < Previous

Related Solutions

Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful...

Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, two green ones, four white ones, and three purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.] She has all the red ones. Recall from Example 1 that whenever Suzan sees a bag of marbles, she...

Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful...

Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, four green ones, three white ones, and two purple ones. She grabs five of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.] She has two red ones and one of each of the other colors.

Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful...

Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, five green ones, two white ones, and two purple ones. She grabs seven of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.] She has all the red ones. Recall from Example 1 that whenever Suzan sees a bag of marbles, she...

Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful...

Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, two green ones, five white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She has at least one green one.

Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful...

Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, two green ones, five white ones, and one purple one. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.] She has at least one green one.

1. Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a...

1. Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, five green ones, two white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1. She has all the red ones. 2. Recall from Example 1 that whenever Suzan sees a bag of...

1) Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a...

1) Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, four green ones, two white ones, and one purple one. She grabs five of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.] She has two green ones and one of each of the other colors. 2) Recall from Example 1...

ASK YOUR TEACHER Recall from Example 1 that whenever Suzan sees a bag of marbles, she...

ASK YOUR TEACHER Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, four green ones, three white ones, and three purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.] She does not have all the green ones.

Will rate you! 1) Recall from Example 1 that whenever Suzan sees a bag of marbles,...

Will rate you! 1) Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, three green ones, two white ones, and one purple one. She grabs five of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.] She has two red ones and one of each of the other colors. 2) Recall...

5. Max grabs three marbles from a bag containing five white marbles and six black marbles....

5. Max grabs three marbles from a bag containing five white marbles and six black marbles. What is the probability that exactly two of the marbles are black?

Subjects