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

Question

Question

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?

math Statistics-And-Probability

Answer 1

Answer #1

Please note

Total Marbles in the bag = 5 white + 6 black = 11

Probability = Favorable Outcomes / Total Outcomes

Favorable outcomes = Choosing 2 black marbles out of 6 and 1 white out of 5 = 6C2 + 5C1 = (6 * 5 / 2) + 5 = 20

Total outcomes = Choosing 3 marbles out of 11 = 11C3 = 11 * 10 * 9 / (3 * 2 * 1) = 165

Therefore the required probability = 20 / 165 = 4 / 33 = 0.1212

Answer 2

Similar Homework Help Questions

Suzan grabs five marbles at random from a bag containing four red marbles, three green ones,...

Suzan grabs five marbles at random from a bag containing four red marbles, three green ones, two white ones and one purple one. What are the probabilities of the following events expressing each as a fraction in the lowest term. a. She has at least 2 green ones. b. She does not have all the red ones.
Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random

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, two green ones, five white ones, and one purple one. 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. 2. Recall from Example 1 that whenever Suzan sees a bag of marbles, she...
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, three 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. 2. Recall from Example 1 that whenever Suzan sees a bag of marbles,...

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 two red marbles, three green ones, four 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 does not have all the red ones. Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a...
Question: Consider a bag containing 5 green, 7 black and 4 white marbles. If three marbles...

Question: Consider a bag containing 5 green, 7 black and 4 white marbles. If three marbles are drawn randomly then what is the probability that none of them is white?
Suzan sees a bag of marbles, she grabs a handful at random. She has seen a...

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

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 five of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.] She has at most 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 three red marbles, three green ones, four 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. 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 four red marbles, two green ones, five 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. She has all the red ones. I

Consider a bag with ten red marbles, six white marbles, and three blue marbles. (a) How...

Consider a bag with ten red marbles, six white marbles, and three blue marbles. (a) How many samples of five marbles are possible? (b) [2 pts] How many samples of five marbles contain only white marbles? (c) What is the probability of drawing two red marbles, two white marbles, and one blue marble when drawing five marbles?