What is the probability of winning? •Assuming that you win. What is the probability that you had an opponent of type 1?
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You enter a chess tournament where you probability of winning
a game is 0.3 against half the players (call them type 1). 0.4 against a quarter of the
players (call them type 2), and 0.5 against the remaining quarter of the players (call them
type 3). You play a game against a randomly chosen opponent.
•What is the probability of winning?
•Assuming that you win. What is the probability that you had an opponent of type
1?
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- 4.81. Whenever horses a, b, c race together, their respective probabilities of winning are 0.3, 0.5, 0.2. They race three times. (a) Find the probability that the same horse wins all three races. (b) Find the probability that a, b, c each wins one race.The flu test is 100% positive when flu is present. It gives a false positive in 10% of the tests when the flu is not present. If 1% of the population has this flu, what is the probability that someone has flu given that his test is positive?In a remote jungle village the probability of a child contracting malaria is .45 the probability of contracting measles is.65 and the probability of contracting both is .20 What is the probability of a child contracting malaria or measles?
- The probability of win a certain game is 0.3. What is the probability of win at least 4 times in 5 plays?There was a baseball game between Oscar and Gabe. The chance of Oscar winning is 3/5 (60%). The chance of Gabe winning is 2/5 (40%). This game wasn't a one game competition. It's the best of 5 series. This means the first person to win 3 games is the overall champion. What's the probability (% is best) that Oscar is the champion? Don't answer this question as Oscar with a 60% chance and Gabe as a 40% chance. Also, don’t use the equation for finding multiple events for probability.You are given a two dice with 4 sides each, with equal probability of landong on all sides. Dice one has values 1 - 4 and the second has values 5-8. The low-valued die (dice one) is rolled first. If you get a 1 or 2, then you roll the high-valued die (dice 2). If you get 3 or 4, you roll the low-valued die. X= value of the 1st roll Y = value of the 2nd roll Z = X + Y %3D Find H(X), H(Y), H(Z) Find H(Y|X) Find H(X,Y), H(XIҮ) Find I (X;Y)
- Suppose you model a game of chance with a discrete probability distribution. Let X be the net amount of money or lost by the player. Let pX be the probability of the corresponding outcome. The three events are as follows: There is a 23% chance the player wins 7 dollars. there is a 38% chance the player loses 4 dollars. there is a 39% chance the player breaks even. COMPLETE THE TABLE BELOW TO MODEL THE SCENARIO X PX)A person rides uber 30% of the time, her roommate gives her a ride 30% of the time and she rides with her mom 40% of the time. She is late 10% of the time with her roommate she is late 3% of the time when she rides uber and 7% of the time when she rides with her mom. What is the probability that she wil be on time if she rides with her roommate?QUESTION 2 a) Based on the past data, 8% of customers will order a dessert with the meal at a noodle's restaurant. 14% of them will order a bottled beverage. i. What is the probability that a customer will order both a dessert and a bottled average? (2 marks) ii. The customers have ordered a dessert with the meal. Calculate the probability that he or she will order a bottled beverage. (2 marks) b) The Graduate Management Admission Test (GMAT) is a requirement for all applicants of MBA programs. A variety of preparatory courses are designed to help applicants improve their GMAT scores, which range from 200 to 800. Suppose that a survey of MBA students reveals that among GMAT scorers at least 650, 72% took a preparatory course; whereas among GMAT scores of less than 650 only 31% took a preparatory course. The probability for an applicant to score at least 650 is 30%. Suppose he was not taking the preparatory course. What is his probability of achieving 650 or more for GMAT score? (5…
- I need help with a, b, c and d.All human blood can be "ABO-typed" as one of O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Here is the distribution of blood types for a randomly chosen person in a country. Blood type A National probability 0.43 0.12 AB ? (a) What is the national probability of type AB blood? O 0.41 (b) Maria has type B blood. She can safely receive blood transfusions from people with blood types O and B. What is the probability that a randomly chosen person from this country can donate blood to Maria?
