Victoria is playing a new video game.  To get to the next level, she must capture the flag and then choose the correct escape route.  The chance that she captures the flag is 60%.  The chance that she chooses the correct escape route is 30%.  The probability that she does both is 15%.  Create a Venn Diagram and determine the probability that:   She captures the flag and chooses the correct route She only captures the flag She only chooses the correct escape route She doesn’t complete either task

Delaney is about to take a final exam that consists of 20 questions. To motivate her to study, her parents promised her $500 if she gets at least 17 questions right. The questions are multiple choice and the probability of her getting a question right is 0.75 on each question of the final exam. What is the probability that she gets exactly 17 questions right? What is the probability that she gets at least 17 questions right?

Alonzo, Bob, and Casper work bussing tables at a restaurant. Alonzo has a 35% chance, Bob has a 40% chance, and Casper has a 25% chance of bussing tables in the middle area of the restaurant. If Alonzo is bussing tables, he has a 5% chance of breaking a dish. If Bob is bussing tables, he has a 2% chance of breaking a dish. Finally, if Casper is bussing tables, he has a 4% chance of breaking a dish. If there is a broken dish in the middle of the restaurant, what is the probability it was broken by Casper?

Karey has three movie choices. She can choose between a comedy, a drama, or a thriller. She will want a snack as well. Her choices are popcorn, nachos & cheese, potato chips, or peanuts. What is the probability that she will watch a thriller and eat popcorn?

For Jermaine’s birthday, he can choose his gift from a stack of 4 sealed cards.  Each card has one of four possible amounts: $10, $25, $50, and $100, and each amount has an equal probability.  He is not allowed to open the card.  Complete the table and answer the questions.

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

Charles has six songs on a playlist. Each song is by a different artist. The artists are Joey McIntyre, Whitney Houston, Aaron Carter, Shakira, Shania Twain, and Phil Collins. He programs his player to play the songs in a random order, without repetition. What is the probability that the first song is by Aaron Carter and the second song is by Joey McIntyre? Write your answer as a fraction or a decimal, rounded to four decimal places.   The probability that the first song is by Aaron Carter and the second song is by Joey McIntyre is    .

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?

Luis is playing a paint ball game.  To win, he must capture the flag and choose the correct escape route.  The chance that he captures the flag is 62%.  The chance that he chooses the correct escape route is 68%.  The probability that he does both is 41%.  Create a Venn Diagram and determine the probability that: He captures the flag and chooses the correct route He only captures the flag He only chooses the correct route He doesn’t complete either task