Question

In: Statistics and Probability

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.

Solutions

Expert Solution


Related Solutions

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...
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
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.
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 bag of marbles contains 3 blue marbles, 2 green marbles. 2 marbles are selected from...
A bag of marbles contains 3 blue marbles, 2 green marbles. 2 marbles are selected from the bag without replacement. What is the probability of getting 1 green marble?
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...
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.
A jar contains 42 red marbles numbered 1 to 42 and 30 blue marbles numbered 1...
A jar contains 42 red marbles numbered 1 to 42 and 30 blue marbles numbered 1 to 30. A marble is drawn at random from the jar. Find the probability of the given event. Please enter reduced fractions. (a) The marble is red. P(red)=   (b) The marble is odd-numbered. P(odd)=     (c) The marble is red or odd-numbered. P(red or odd) =     (d) The marble is blue or even-numbered. P(blue or even) =   
A jar contains 38 red marbles numbered 1 to 38 and 44 blue marbles numbered 1...
A jar contains 38 red marbles numbered 1 to 38 and 44 blue marbles numbered 1 to 44. A marble is drawn at random from the jar. Find the probability of the given event. Please enter reduced fractions. (a) The marble is red. P(red)= (b) The marble is odd-numbered. P(odd)= (c) The marble is red or odd-numbered. P(red or odd) = (d) The marble is blue or even-numbered. P(blue or even) =
A bag contains one red marble, two blue marbles and three green marbles. A marble is...
A bag contains one red marble, two blue marbles and three green marbles. A marble is selected at random. Define a random variable X such that X=1 if a red marble is selected, X=2 if a blue marble is selected and X=3 if a green marble is selected. Find the following probabilities. Hint: The blue marbles are different; you can label one blue-1 and the other blue-2. Similarly, each of the green marbles is different. 4a) Find P(X=1) 4b) Find...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT