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- Suppose your hole cards are 7♥ 9♥, and your opponent’s hole cards are Q♣ 8♣. The flop and the turn are 3♥ 8♥ J♦ 2♣. What is the probability that you get a flush on the river?Kevin is playing basketball with joy. Based on existing experience, kevin generally managed to make 8 free throws out of 10 throws. Unlike Kevin, generally joy only managed to make 3 free throws out of 10 throws. That afternoon, the two of them competed with each other for free throws. If it is assumed that both Kevin and Joy are free throws and have an equal chance of entering the ring, a. What is the probability that out of 5 free throws made by Joy, only two make it into the ring? b. What is the probability that Kevin's third throw is a free sheet that goes into the ring? c. What is the probability that Joy's sixth throw is the second free throw that makes it into the ring?Previously, De Anza's statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 daytime statistics students. Find the probability that an individual had between $0.80 and $1.00. Graph the situation, and shade in the area to be determined.
- Is Lucas's first free throw shot independent of his second free throw shot? O The two free throws are dependent on each other. O The two free throws are independent of each other. O It is impossible to tell from the given information whether or not the two free throws independent of each other. What is the probability that Lucas makes both free throws?A hacker is trying to guess someone's password.The hacker knows that the password is 4 digits long,and that each digit could be a number between 0 and 3.Assume that the hacker makes random guesses.What is the probability that the hacker guesses the password right on her first try?Say that the probability that someone has a wireless mouse for their computer is 0.4 and the probability that someone does not have a wireless keyboard is 0.3. The probability that someone has both a wireless mouse and a wireless keyboard is 0.2. Let the event A denote someone having a wireless mouse and event B denote someone having a wireless keyboard. a. Now say we interview two independent people. What is the probability that both have a wireless mouse?
- On Mr. Casper's debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85. (a) Find the probability that the team wins the debate. b sketch a tree diagram to model this processAt a hospital’s emergency room, patients are classified and 20% of them are critical,30% are serious, and 50% are stable. Of the critical ones, 30%die; of the serious, 10% die;and of the stable, 1% die. Given that a patient dies, what is the conditional probability that the patient was classified as critical?Aleem tossed a coin 50 times and recorded the results in a frequency distribution table. Outcome Frequency Heads 22 Tails 28 What is the experimental probability of tossing a head?
- Assume that each born child is equally likely to be a boy or a girl. If a family has two children, what is the conditional probability that both are girls given that (1) the youngest is a girl, (ii) at least one is a girl?Gabriel collects coins. He has 25 coins that were minted prior to 1900, and 8 of those coins are rare. He has 300 coins that were minted after 1900, and 14 are rare. What is the conditional probability that the coin was minted after 1900, given that it is rare? Round to the nearest hundredth.