what is the probability? A jar contains 4 red marbles, numbered 1 to 4, and 12...

what is the probability?

A jar contains 4 red marbles, numbered 1 to 4, and 12 blue marbles numbered 1 to 12.

a) A marble is chosen at random. If you’re told the marble is blue, what is the probability that it has the number 2 on it?

b) The first marble is replaced, and another marble is chosen at random. If you’re told the marble has the number 1 on it, what is the probability the marble is blue?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

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 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

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?

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?

You have a jar that contains 4 pink marbles, 3 yellow marbles,and 5 gray marbles....

You have a jar that contains 4 pink marbles, 3 yellow marbles, and 5 gray marbles.You will take out a marble at random and then replace it. You will do this a total of8 times.(a) Given that you observe at least 6 pink marbles, what is the probability that youobserve 1 yellow marble and 1 gray marble?

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...

Urn problem One jar contains 8 white marbles and 12 black marbles. We offer you the...

Urn problem One jar contains 8 white marbles and 12 black marbles. We offer you the following three games. For each game, identify the probability law(distribution) that will follow the number of points you will earn, the expected value and its Standard deviation. A) You draw ten marbles and earn one point for each white ball drawn. (with replacement) B)You draw ten marbles and earn one point for each white ball drawn. (Without replacement) C) You draw marbles (with replacement)...

A jar contains 2 green marbles, G1 and G2, and 4 yellow marbles, Y1, Y2, Y3,...

A jar contains 2 green marbles, G1 and G2, and 4 yellow marbles, Y1, Y2, Y3, and Y4. Imagine that we do not know this. Suppose that our parameter p of interest is the proportion of marbles in the jar that are green. We will be allowed to take three marbles out the jar (all at once, without replacement). We will estimate p by looking at ˆp, the proportion of marbles in our sample that are green. (a) Write down...

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.

Subjects