An experiment consists of rolling an eight sided die and drawing a marble from a bag...

An experiment consists of rolling an eight sided die and drawing a marble from a bag containing 3 blue, 5 red, 10 green, and 1 white. Let A be rolling an even number, B be drawing a green marble, C be rolling a number less than 4, and D be drawing a red or white marble. Write out each in words and find to the best of your ability.

(a) How big is the sample space and what are two ways to visualize it?

(b) P(A)

(d) P(A or C)

(e) P(A / C)

(f) P(A / B')

(g) P(B / D)

(h) P(A and D)

(i) P(A or D)

(j) Are any of the events mutually exclusive? Justify.

(k) Are any of the events independent from each other? Justify.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

An experiment consists of rolling six-sided dice twice. &

An experiment consists of rolling six-sided dice twice. (10) List the sample space for this experiment. Find the probability distribution for this experiment where x represents the number of even numbers in the 2 rolls. Find the mean of the probability distribution. Find the standard deviation of the probability distribution. Would it be unusual to get 2 even numbers? Why or why not? (show your work)

An experiment consists of rolling three fair dice --- a red die, a blue die, and...

An experiment consists of rolling three fair dice --- a red die, a blue die, and a white die --- and recording the number rolled on each die. Assume that the dice are fair, so that all outcomes are equally likely. (1) What probability should be assigned to each outcome? equation editorEquation Editor (2) What is the probability that the sum of the numbers rolled is 5? equation editorEquation Editor (3) What is the probability that the sum of the...

The experiment of rolling a fair six-sided die twice and looking at the values of the...

The experiment of rolling a fair six-sided die twice and looking at the values of the faces that are facing up, has the following sample space. For example, the result (1,2) implies that the face that is up from the first die shows the value 1 and the value of the face that is up from the second die is 2. sample space of tossing 2 die A pair of dice is thrown. Let X = the number of multiples...

An experiment consists of rolling 1 red die, 1 white die, and 1 blue die and...

An experiment consists of rolling 1 red die, 1 white die, and 1 blue die and noting the result of each roll. The dice are fair, and all out comes are equally likely, What is the probability that the SUM of the results on the three dice is 7? What is the probability that the sum is an odd number? Please explain in detail.

1. The experiment of rolling a fair six-sided die twice and looking at the values of...

1. The experiment of rolling a fair six-sided die twice and looking at the values of the faces that are facing up, has the following sample space. For example, the result (1,2) implies that the face that is up from the first die shows the value 1 and the value of the face that is up from the second die is 2. (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)...

Suppose you are rolling a fair four-sided die and a fair six-sided die and you are...

Suppose you are rolling a fair four-sided die and a fair six-sided die and you are counting the number of ones that come up. a) Distinguish between the outcomes and events. b) What is the probability that both die roll ones? c) What is the probability that exactly one die rolls a one? d) What is the probability that neither die rolls a one? e) What is the expected number of ones? f) If you did this 1000 times, approximately...

A regular six-sided die and a regular eight-sided die are rolled to find the sum. Determine...

A regular six-sided die and a regular eight-sided die are rolled to find the sum. Determine the probability distribution for the sum of the two dice. Create a frequency histogram for the probability distribution and determine the expected sum of the two dice.

Consider rolling both a fair four-sided die numbered 1-4 and a fair six-sided die numbered 1-6...

Consider rolling both a fair four-sided die numbered 1-4 and a fair six-sided die numbered 1-6 together. After rolling both dice, let X denote the number appearing on the foursided die and Y the number appearing on the six-sided die. Define W = X +Y . Assume X and Y are independent. (a) Find the moment generating function for W. (b) Use the moment generating function technique to find the expectation. (c) Use the moment generating function technique to find...

1. Consider the experiment of first drawing one card from a single suit and then rolling...

1. Consider the experiment of first drawing one card from a single suit and then rolling a single die a. How many simple events are possible ? b. List the out sample space . c. What is the probability of picking the same value card as die roll ? d. What is the probability of picking a different number card than value rolled ? e. What is the probability of obtaining a combined value of less than ten (assume that...

What is the probability of rolling 6, 6 sided die and achieving a score of 18?...

What is the probability of rolling 6, 6 sided die and achieving a score of 18? (6 die, each one is 6 sided)

Subjects