The Transitive Property of Falling Dominoes: If Domino A causes Domino B to fall, and Domino B causes Domino C to fall, then Domino A causes Domino ? to fall.
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A: see the attachments below
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- Matt drops 96 playing cards, one at a time, onto the floor. He notices that 80 cards land face-up. Given Matt's observations, which phrases correctly complete the statement below? The cards landed so the outcomes of landing face-up or face-downAn event planner is deciding what food to include in a buffet. The caterer has offered 10 cold dishes and 6 hot dishes. Of the 16 dishes offered, the event planner will choose 8. (If necessary, consult a list of formulas.) (a) In how many ways can the event planner choose 8 dishes if the number of hot dishes must be less than 2? 0 (b) In how many ways can the event planner choose 8 dishes if the number of hot dishes must be greater than or equal to 2? 0 Explanation Check O M X S F 10 Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center AccessiIf S =1+5+9+ 13 + 17+ 21 + ... + 101, then 25 S =(4r + k) r=0 where k =
- (a) Mrs. Ruiz has 15 boys and 12 girls in her class. In how many ways can she select a committee to organize a class party if the committee must contain 2 boys and 2 girls? (b) Lourdes, a girl, and Andy, a boy, always fight. How many ways can Mrs. Ruiz select the committee of part (a) if she does not want both Lourdes and Andy on the committee? Note that Lourdes can be on the committee, and Andy not on the committee, or vice versa.! (asap)Pizza time: A local pizza parlor is offering a half-price deal on any pizza with one topping. There are five toppings from which to choose. In addition, there an two different choices for the slze of the pizza, and three cholces for the type of crust. In how many ways can a pizza be ordered? There are ways to order a pizza.
- If the animal is in the woods on one observation, then it is three times as likely to be in the woods as the meadows on the next observation. If the animal is in the meadows on one observation, then it is as likely to be in the meadows as the woods on the next observation. Assume that state 1 is being in the meadows and that state 2 is being in the woods. P = 0.5 0.5 0.25 0.75 (2) If the animal is twice as likely to be in the meadows as in the woods, find the state vector X that represents this information? X = [ , ]? Using the state vector determined in the preceding part as the initial state vector, find the probability that the animal is in the meadow on the third observation after the initial one23) Max and Jill both uses quarters to fill a parking meter. Max's parking meter is for 2 hours and Jill's parking meter is for 1 hour and 30 minutes. Max goes into a store and when he comes back, he sees that his parking meter has 4 of the time left. Jill goes for a run and when she comes back she sees that her parking meter has 4 of the time left. Who has more time left? By how many minutes?Three students took a test. The professor comes and tells them that only one has passed the test.“Which is it?” they ask.“I can’t tell you that,” says the professor. “I can’t tell a student their own fate before the results are declared.”Student A takes the professor aside. “Look,” he says. “Of the three of us, only one has passed. That means that one of my fellow students is still sure to fail. Give me his name. That way you’re not telling me my own fate.”The guard thinks about this and tells him, “Student B has failed.”Student A rejoices that his own chances of passing have improved from 1/3 to 1/2. But how is this possible? The professor has given him no new information. Or has he?What do you think? Has the chances of student A risen from 1/3 to 1/2 and if so, why? Or does it still remain at 1/3 and if so, why? Can you specify what the initial chances were of each student passing/failing, and what their chances are after the profeesor ha shared the result for b
- A roulette wheel has 30 slots, consisting of 2 blues, 8 whites, and 20 red slots. You will receive P100 if the roulette stops spinning on a blue slot, you will receive P50 on a white slot, but you will be penalized P10 if the roulette stops spinning on a red slot. Let X be the amount you will recieve (or pay). The probaility of receiving P50 is 2/30 or 1/15, and of receiving P50 is 8/30 or 4/15. What is the probability of penalty of P10? 2/3 1/3 -2/3Please I need urgent help!One option in a roulette game is to bet $7 on red. (There are 18 red compartments, 18 black compartments, and two compartments that are neither red nor black.) If the ball lands on red, you get to keep the $7 you paid to play the game and you are awarded $7. If the ball lands elsewhere, you are awarded nothing and the $7 that you bet is collected. Complete parts (a) through (b) below. III a. What is the expected value for playing roulette if you bet $7 on red? $ (Round to the nearest cent.) b. What does this expected value mean? Choose the correct statement below. O A. This value represents the expected loss over the long run for each game played. OB. Over the long run, the player can exper to break even. OC. This value represents the expected win over the long run for each game played.
