Homework Answers
Total Balls: 7 X 4 = 28 Balls (As colour of the balls are Blue, Red, Green & Yellow)
Answer to 10: Probability that the number on the rubber balls will be sequential if 5 Balls taken out randomly: 5/28
Answer to 11: Probability that the number on the rubber balls will be sequential if 3 Balls taken out randomly: 3/28
Answer to 12: Probability that the number on the rubber balls will be sequential if 5 Balls taken out randomly: 5/28
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10. Use Rubber Balls in a Box Setup. Suppose 5 rubber balls are to be randomly...
Problem #4: (10 points) In a state lottery, the player picks 6 numbers from a sequence of 1 through 51. At a lottery drawing, 6 balls are drawn at random from a box containing 51 balls, numbered...
Problem #4: (10 points) In a state lottery, the player picks 6 numbers from a sequence of 1 through 51. At a lottery drawing, 6 balls are drawn at random from a box containing 51 balls, numbered 1 through 51. Find the following. (a) Probability the player matches exactly 5 numbers (b) Probability the player matches all 6 numbers (i.e. wins the lottery!)
Problem #4: (10 points) In a state lottery, the player picks 6 numbers from a sequence of...
Michael has a box of colored balls. It contains two red balls, two green balls, two...
Michael has a box of colored balls. It contains two red balls, two green balls, two yellow balls, and five blue balls. Michael draws a ball at random from the box Let R denote the event that the ball he draws is red, and let B denote the event that the ball he draws is blue. What is Pr(R|B)? What is Pr(R|B′)? Enter your answers as whole numbers or fractions in lowest terms. A bag contains four 1-dollar bills, three...
help! Two balls are drawn in succession out of a box containing 5 red and 5...
help!
Two balls are drawn in succession out of a box containing 5 red and 5 white balls. Find the probability that at least 1 ball was red given that the first ball was (A) Replaced before the second draw. (B) Not replaced before the second draw. (A) Find the probability that at least 1 ball was red, given that the first ball was replaced before the second draw. (Simplify your answer. Type an integer or a fraction) (B) Find...
Part B 5* 7. Suppose that a box contains 2 red balls, 3 white balls, and...
Part B
5* 7. Suppose that a box contains 2 red balls, 3 white balls, and 4 blue balls. Suppose also that balls are selected from the box one at a time, at random, without replacement. What is the probability that a) all white balls will be obtained in a row? ) both end balls are blue ?
A state lotery randomly chooses 7 balls numbered from 1 through 39 without replacement. You choose...
A state lotery randomly chooses 7 balls numbered from 1 through 39 without replacement. You choose represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If values n, p, and q and list the possible values of the random variable x. 7 numbers and purchase a lottery ticket. The random variable so, identify a success, specify the Is the experiment binomial? O A. O B. Yes, the probability...
15.A box contains five red balls, three green balls, and two yellow balls. Suppose you select...
15.A box contains five red balls, three green balls, and two yellow balls. Suppose you select one ball at random from the box and do not replace it. Then you randomly select a second ball. Find the probability that both balls selected are red. 16. In a certain region, the probability of flooding in any one year is 1/4. What is the probability that it does NOT flood at all over the next five years? 17. Consider the following scores...
PROBLEM: Marbles in a Box Suppose there are 17 marbles in a box. There are 5...
PROBLEM: Marbles in a Box Suppose there are 17 marbles in a box. There are 5 blue marbles, 4 yellow marbles, 3 red marbles, and 5 green marbles. The experiment is selecting 2 marbles randomly from the box, without replacement. Let x be the number of blue marbles. Note: The picture shown is an example of marbles in the box. The number of marbles and their color code does not reflect to this problem (a) Determine whether the experiment is...
A radio station runs a promotion at an auto show with a money box with 15 $25 tickets, 11 $5 tickets, and 12 31 tickets. The box contains an additional 20 "dummy" tickets with no value. T...
A radio station runs a promotion at an auto show with a money box with 15 $25 tickets, 11 $5 tickets, and 12 31 tickets. The box contains an additional 20 "dummy" tickets with no value. Three tickets are randomly drawn. Find the probability that all three tickets have no value. 3. The probability that all three tickets drawn have no money value is Round to four decimal places as needed.) 4. If you are dealt 3 cards from a...
A box contains 140 USB drives 38 of which are defective. consider drawing a non-defective USB...
A box contains 140 USB drives 38 of which are defective. consider drawing a non-defective USB drive to be a success. if 25 USB drives are randomly selected without replacement, the results do not form a binomial distribution for which reasons select all that apply. a. There is not a fixed number of trials. b. The probability of success is not the same in each trial. c. each trial has more than two possible outcomes. d. The trials are dependent...
(Continuation of Exercise 7, due to David Blackwell.) The question now arises: What randomizing strategy should...
(Continuation of Exercise 7, due to David Blackwell.) The
question now arises: What randomizing strategy should I use to make
it as hard as possible for you to guess correctly? Consider what
happens if I use the (f:J, f:J, strategy, and answer the following
questions:
a) What box should you guess if you see a black ball? b) What
box should you guess if you see a white balJ? c) What is your
overall chance of winning?
You should conclude...
Problem #4: (10 points) In a state lottery, the player picks 6 numbers from a sequence of 1 through 51. At a lottery drawing, 6 balls are drawn at random from a box containing 51 balls, numbered 1 through 51. Find the following. (a) Probability the player matches exactly 5 numbers (b) Probability the player matches all 6 numbers (i.e. wins the lottery!)
Problem #4: (10 points) In a state lottery, the player picks 6 numbers from a sequence of...
help!
Two balls are drawn in succession out of a box containing 5 red and 5 white balls. Find the probability that at least 1 ball was red given that the first ball was (A) Replaced before the second draw. (B) Not replaced before the second draw. (A) Find the probability that at least 1 ball was red, given that the first ball was replaced before the second draw. (Simplify your answer. Type an integer or a fraction) (B) Find...
Part B
5* 7. Suppose that a box contains 2 red balls, 3 white balls, and 4 blue balls. Suppose also that balls are selected from the box one at a time, at random, without replacement. What is the probability that a) all white balls will be obtained in a row? ) both end balls are blue ?
A state lotery randomly chooses 7 balls numbered from 1 through 39 without replacement. You choose represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If values n, p, and q and list the possible values of the random variable x. 7 numbers and purchase a lottery ticket. The random variable so, identify a success, specify the Is the experiment binomial? O A. O B. Yes, the probability...
PROBLEM: Marbles in a Box Suppose there are 17 marbles in a box. There are 5 blue marbles, 4 yellow marbles, 3 red marbles, and 5 green marbles. The experiment is selecting 2 marbles randomly from the box, without replacement. Let x be the number of blue marbles. Note: The picture shown is an example of marbles in the box. The number of marbles and their color code does not reflect to this problem (a) Determine whether the experiment is...
A radio station runs a promotion at an auto show with a money box with 15 $25 tickets, 11 $5 tickets, and 12 31 tickets. The box contains an additional 20 "dummy" tickets with no value. Three tickets are randomly drawn. Find the probability that all three tickets have no value. 3. The probability that all three tickets drawn have no money value is Round to four decimal places as needed.) 4. If you are dealt 3 cards from a...
(Continuation of Exercise 7, due to David Blackwell.) The
question now arises: What randomizing strategy should I use to make
it as hard as possible for you to guess correctly? Consider what
happens if I use the (f:J, f:J, strategy, and answer the following
questions:
a) What box should you guess if you see a black ball? b) What
box should you guess if you see a white balJ? c) What is your
overall chance of winning?
You should conclude...
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