QuestionUsing the tree-diagram below, answer the following question.HeadsMI K30ERATailsNotNot 4HeadsTailsHeadsTailsHeadsTailsHeadsTailsA game involves flipping a fair coin, rolling a fair die, and then flipping the coin again.To win, I must get the combination, "Tails, 4, Tails" in that order.If I rig the die roll so that I know I'll get a "4", what is my probability of winning the game?Give your answer as the most simplified fraction possible.

The set outcomes of the event of flipping a coin S={Head, tail} The set of outcomes of the event…

Answered: Question Using the tree-diagram below,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Play this game with a partner. The first player marks down 1, 2, 3, or 4 dots on a sheet of paper. The second player then adds to this by marking down 1, 2, 3, or 4 more dots. The first player to exceed a total of 30 loses the game. Can the first player or the second player devise a surefire winning strategy? Explain carefully. Which player can definitely devise a surefire winning strategy? Use the Show Work learning aid to provide related calculations and additional reasoning to support your answer. O A. None B. The second player OC. Both OD. The first player
Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices with P(A) = 0.4, P(B) = 0.2, and P(C) = 0.4. (a) Among the next 100 customers, what are the mean and variance of the number who pay with a debit card? mean customers variance customers2 Explain your reasoning. Because we are interested in whether or not a debit card was used, we can use the binomial distribution. X = the probability that a customer used a debit card.Because we are interested in whether or not a debit card was used, we can use the binomial distribution. X = the number of customers who use a debit card. Because we are interested in whether or not a debit card was used, we can use the binomial distribution. X = the number of customers at the gas station. (b) Answer part (a) for the number among the 100 who don't pay with cash. mean customers variance customers2
MATH • PROBABILITY Read the paragraph and answer the questions that follow. San Pablo City is famous for its Seven Lakes namely: Sampaloc, Bunot, Yambo, Pandin, Mahicap, Calibato, and palakpakin. Your friend from Manila will come to your house to have a one-week vacation. You suggested that you will be visiting, you decided to draw lots. So, you wrote each lake name on a piece of paper and put them in a bowl. If you wil pifk one paper from the bowl. What is the probablity that you will pick: A. Sampaloc or a lake that starts with "S"? B. A lake that starts with "P" or starts with "S"? C. Bunot or Yambo? D. Mahicap or a lake that stars with "B"? E. A lake that starts with "M" or starts with "Ү"?
A restaurant will select 1 card from a bowl to win a free lunch. Jo puts 5 cards in the bowl. The bowl has 100 cards. What are the odds of Jo winning a free lunch? 1/5 1/10 1/20 1/500
Find the probability.
Roll two dice and observe the numbers coming up. Define two events by: A="the sum is six," and B-"the numbers are not equal." Find and compare P(B) and P(BIA).
which one is correct?plz explain
Directions: Solve the given problem. Show your solutions. Of all the registered automobiles in Colorado, 8% fail the state emissions test. Twelve automobiles are elected at random to undergo an emissions test. a. Find the probability that exactly four of them fail the test. b. Find the probability that fewer than four of them fail the test. c. Find the probability that more than three of them fail the test.

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