What is the probability of drawing, in order, 2 red, 1 blue, and 2 yellow marbles if a bag contains 4 yellow, 5 red, and 6 blue marbles?

Expert Solution

we assume that marbles are not returned after drawn here.

Draw 1: 5 reds out of 15 marbles: 5/15

Draw 2: 4 reds out of 14 marbles: 4/14

Draw 3: 6 blues out of 13 marbles: 6/13

Draw 4: 4 yellows out of 12 marbles: 4/12

Draw 5: 3 yellows out of 11 marbles: 3/11

Hence, the probability is

5/15⋅4/14⋅6/13⋅4/12⋅3/11=4/1001

Hence, the probability is

5/15⋅4/14⋅6/13⋅4/12⋅3/11=4/1001

khuku guchhait answered 2 years ago

A jar contains 6 blue and 8 red marbles. What is the probability of drawing two...

A jar contains 6 blue and 8 red marbles. What is the probability of drawing two consecutive red marbles if the drawing is done without replacement? Group of answer choices 32/91 2/7 4/13 101/91

A bag contains 7 red marbles, 5 white marbles, and 9 blue marbles. You draw 4...

A bag contains 7 red marbles, 5 white marbles, and 9 blue marbles. You draw 4 marbles out at random, without replacement. What is the probability that all the marbles are red? The probability that all the marbles are red is .? What is the probability that exactly two of the marbles are red? The probability that exactly two of the marbles are red is . What is the probability that none of the marbles are red? The probability of picking no...

bag contains 7 red marbles, 5 white marbles, and 8 blue marbles. You draw 5 marbles...

bag contains 7 red marbles, 5 white marbles, and 8 blue marbles. You draw 5 marbles out at random, without replacement. What is the probability that all the marbles are red? The probability that all the marbles are red is . What is the probability that exactly two of the marbles are red? What is the probability that none of the marbles are red?

There are 12 blue marbles, and 17 red marbles in a bag. 6 of the marbles...

There are 12 blue marbles, and 17 red marbles in a bag. 6 of the marbles are drawn from the bag without being replaced. N=29 K=17 n=6 P(2 blue, 4 red)? P(5 blue, 1 red)? P(1 blue, 5 red)? Odds against 2 red? E(red)= ? σ(blue)= ? Show work below.

A bag contains 9 red marbles, 7 white marbles, and 8 blue marbles. You draw 4...

A bag contains 9 red marbles, 7 white marbles, and 8 blue marbles. You draw 4 marbles out at random, without replacement. Find the following probabilities and round to 4 decimal places. a. The probability that all the marbles are red is (0.0118) Incorrect b. The probability that none of the marbles are red is 0.9882) (Incorrect

Suppose you have a bag with 6 blue marbles and 4 red marbles. Calculate the following...

Suppose you have a bag with 6 blue marbles and 4 red marbles. Calculate the following probabilities: a) If you randomly remove half of the marbles from the bag, what is the probability that 3 of them are blue and 2 are red? b) Suppose that you sample with replacement from the bag: you take out a marble, record its color, then throw it back in. What is the probability that you need to repeat this process exactly 10 times...

A bag contains 2 red marbles, 5 green ones, 1 lavender one, 6 yellows, and 2...

A bag contains 2 red marbles, 5 green ones, 1 lavender one, 6 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 colors?

13) A box contains 5 green marbles, 6 blue marbles, and 8 red marbles. Three marbles...

13) A box contains 5 green marbles, 6 blue marbles, and 8 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that the first two marbles selected are not red, and the last marble is red. Round your answer to four decimal places.

5. A bag contains 8 red orbs, 3 yellow orbs and 6 blue orbs. Five orbs...

5. A bag contains 8 red orbs, 3 yellow orbs and 6 blue orbs. Five orbs are chosen at random, without replacement. (a) What is the probability of choosing 3 red orbs and 2 yellow orbs? (b) What is the probability of choosing 1 red orb, 2 yellow orbs and 2 blue orbs? (c) What is the probability of choosing all blue orbs? (d) What is the probability of choosing at least one blue orb?

Suppose you have a bag containing 2 red marbles, 3 white marbles, and 4 blue marbles....

Suppose you have a bag containing 2 red marbles, 3 white marbles, and 4 blue marbles. a) if you draw 3 marbles simultaneously, what is the probability that you get one of each color? b) If you draw 3 marbles one at a time, what Is the probability that you get one of each color?

Question