Suppose that a jar contains 8 green jelly beans and 10 blue jelly beans. Answer the...

Suppose that a jar contains 8 green jelly beans and 10 blue jelly beans.

Answer the following questions. Round your answers to four decimal places.

(a) How many ways can you randomly pick out four beans from the jar?

(b) What is the probability that you randomly pick out four beans and exactly two of them are green jelly beans?

(c) What is the probability that you pick up a green jelly bean (without putting it back into the jar), then pick up a blue bean second?

Expert Solution

a) Number of ways = 18C4 = 18!/(4! * 14!) = 3060

b) P(exactly two are green) = (8C2 * 10C2)/18C4 = 0.4118

c) Probability = 8/18 * 10/17 = 0.2614

orchestra answered 2 years ago

Question 10 :A jar contains 2 red balls, 2 blue balls, 2 green balls, and 3orange...

Question 10 :A jar contains 2 red balls, 2 blue balls, 2 green balls, and 3orange balls. Balls are randomly selected, without replacement,until 2 of the same colour are obtained. Calculate the probability thatmore than 3 balls must be selected

An urn contains colored balls;5 red balls, 8 green balls, and 10 blue balls. Suppose ...

An urn contains colored balls;5 red balls, 8 green balls, and 10 blue balls. Suppose  If the 3 balls are drawn one after another without replacement, what is the probability that the colors observed will be Red, Green, Blue in this order?  If the three balls are drawn simultaneously from the urn (without replacement), what is the probability that the selected balls will be all different?

Suppose that a drawer contains 8 marbles: 2 are red, 2 are blue, 2 are green,...

Suppose that a drawer contains 8 marbles: 2 are red, 2 are blue, 2 are green, and 2 are yellow. The marbles are rolling around in a drawer, so that all possibilities are equally likely when they are drawn. Alice chooses 2 marbles without replacement, and then Bob also chooses 2 marbles without replacement. Let Y denote the number of red marbles that Alice gets, and let X denote the number of red marbles that Bob gets. a. Find probability...

Suppose that an opaque jar contains 10 red tea bags and 11 blue tea bags. Assume...

Suppose that an opaque jar contains 10 red tea bags and 11 blue tea bags. Assume that these tea bags are indistinguishable from each other except their labels. Answer the following questions. If necessary, round your answers to four decimal places. (a) How many ways can you randomly pick out 5 tea bags from the jar? (b) What is the probability that you randomly pick out 5 tea bags and exactly 4 of them are red tea bags? (c) What...

Suppose an opaque jar contains 3 red marbles and 10 green marbles. The following exercise refers...

Suppose an opaque jar contains 3 red marbles and 10 green marbles. The following exercise refers to the experiment of picking two marbles from the jar without replacing the first one. What is the probability of getting a green marble first and a red marble second?

A jar contains 2 red, 3 green, and 6 blue marbles. In a game player closes...

A jar contains 2 red, 3 green, and 6 blue marbles. In a game player closes their eyes, reaches into the jar and randomly chooses two marbles. The player wins the game if at least one of their marbles is red. Suppose it cost $1 to play the game and the winning prize is $3. Mathematically analyze this game and determine if it is in your financial interest to play the game.

A jar contains 4 Orange, 3 Blue, and 2 Green marbles. (a) Two marbles are selected...

A jar contains 4 Orange, 3 Blue, and 2 Green marbles. (a) Two marbles are selected one at a time at random without replacement, so order is observed in the sample. Define the events:A=“the first marble is Orange”, B= “the second marble is Orange”. Find(i)P(A), (ii)P(B), (iii)P(A∪B) =P(at least one Orange marble is obtained in the 2 draws). Show your work. (b) Suppose instead three marbles are chosen at random from the jar by choosing 3 in one hand; no...

Assume we have a small jar full of 140 perfectly shaped jelly beans. Fifty of the...

Assume we have a small jar full of 140 perfectly shaped jelly beans. Fifty of the jelly beans are red, 45 of the jelly beans are green, and 35 of the jelly beans are purple and 20 are black. If you randomly select one jelly bean, then … What is the probability the jelly bean is red? What is the probability the jelly bean is black? What is the probability the jelly bean is green? What is the probability the...

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 box contains 5 green marbles, 8 blue marbles, and 8 red marbles. Three marbles are...

A box contains 5 green marbles, 8 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.

Question