Elaine is enrolled in a self-paced course that allows three attempts to pass an examination on online reading and then takes the exam. On the first try she has probability 0.4 of passing. If she fails on the first try, her probability on the second try increases to 0.5 because she learned something from her first attempt. If she fails on two attempts, the probability of passing on a third attempt is 0.6. She will stop as soon as she passes. The course rules force her to stop after three attempts in any case. boSimulate 30 repetitions and estimate the probability that Elaine eventually passes the exam. Use the following table for the digit assignments for each attempt. O Macmillan Learning Failure 4, 5, 6, 7, 8, 9 Attempt One Success 0, 1, 2, 3 0, 1, 2, 3, 4 0, 1, 2, 3, 4, 5 5,6,7,8,9 6,7,8,9 Attempt Two Attempt Three Use Table A, starting at line 130. 0.88 probability =

Ali has taken two books with him for holiday. The probability of liking the first book is 0.5, the probability of liking the second book is 0.4, the probability of liking both books is 0.3. What is the probability that Ali does not like both books?

Professor Brown gives her students a maximum of three attempts to pass a final examination in her statistics course. She has found that the probability of passing on the first attempt is 0.40, the probability of passing the second attempt is 0.65 and the probability of not passing the third attempt is 0.15. Find the probability that a randomly selected student of hers will pass the final examination

Another bag of marbles contains 6 blue marbles and 1 green marble. Mary and Frank will draw a blue marble followed by a green marble, without replacing the first marble. Mary says the probability will be 4/49, Frank says that the probability will be 1/7. Who is correct? Explain and justify your answer by showing work.

A drunken pirate stands in the center of a ship's deck. Every second the pirate moves right or left only. Every second the pirate moves to the right with a probability of 0.1 The steps are independent of each other. The edge of the deck is 5 steps away from the pirate. What is the chance that the pirate will fall off the ship after exactly 5 seconds?

A basketball player hits three-point shots 45% of the time.  If she takes 4 shots during the game, what is the probability that she misses the first shot and hits the last three shots?

Lydia is a project manager and submitted proposals for two different projects, Project X and Project Y to her boss. The probability of getting project X approved is 0.65. The probability of getting project Y approved is 0.77. The probability of getting at least one of the projects approved 0.90. The two projects are independent. True or False

Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What is the probability that Becky's proportion of poses held for over a minute is greater than Carla's? Find the z-table here. O 0.159 O 0,259 0 0.448 O 0,741 Save and Exit Next Submit Math and rem 96 & 7 8 9. 10

John can take one of two highways, Interstate A and Interstate B, to get to work each day. The probability that there will be a traffic jam on Interstate A on a given day is 0.65, and the probability that there will be a traffic jam on Interstate B is 0.2. The probability that there will be a traffic jam on at least one of Interstate A or Interstate B is 0.8. Determine the probability that both Interstate A and B will be congested. 0.235 None in the list 0.050 0.062 0.765 Submit Answer Tries 0/3 Determine the probability that Interstate B is congested given that Interstate A is congested. 0.250 0.077 0.812 0.062 None in the list Submit Answer Tries 0/3 Determine the probability that there is a traffic jam on Interstate A given that at least one of the Interstates has a traffic jam. 0.062 None in the list 0.250 0.812 0.077

You are going to play two games.  The probability you win the first game is 0.60.  If you win the first game, the probability you will win the second game is 0.75.  If lose the first game, the probability you win the second game is 0.55.  What is the probability you win exactly one game?