A student takes a multiple-choice exam, where each question has five possible answers. At the end of the exam, she answered all questions except three questions, for which she picks answers randomly. What is the probability that she got only a question correct?
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A student takes a multiple-choice exam, where each question has five possible answers. At the end of the exam, she answered all questions except three questions, for which she picks answers randomly. What is the probability that she got only a question correct?
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- Four people buy raffle tickets and place all of their tickets into a hat. Raphael bought 8 tickets, Leonardo bought 3 tickets, Michelangelo bought 4 tickets, and Donatello bought 14 tickets. If a person randomly selects one raffle ticket from the hat, what is the probability that Raphael purchased the ticket? Write your answer as a decimal and round three decimal places.Dad's music collection includes 5 rock music albums, 3 classical music albums, and one love song album. If you randomly select three albums, what is the probability that you get at least one of each type?Kiki has 7 black pens, 9 blue pens, and 6 red pens in her school bag.Kiki randomly picks two pens out of her school bag. What is the probability that Kiki chose two blue pens, if she replaced the first pen back in her pocket before choosing a second pen?
- On the last day of a Shakespeare class, an English teacher asked her students which play they liked the best. She made a table of the results. Hamlet 11 Macbeth 4 Twelfth Night 1 Romeo and Juliet 6 What is the probability that a randomly selected Shakespeare student likes Hamlet best? Write your answer as a fraction or whole number. P(Hamlet) =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?Six questions are in a multiple-choice quiz. Each question has 5 possible answers. A student guesses at each question. Find the probability that the student has 4 correct answers. Find the probability that the student passes (earns at least 50%) What is the student's expected number of correct answers?
- 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.33% of all college students major in STEM (Science, Technology, Engineering, and Math). If 30 college students are randomly selected, find the probability that exactly 8 of them major in STEM.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 .
- A quiz consists of five multiple choice questions. Each question has four choices. A student guesses randomly on every question. What is the probability that the student answers at least four questions correctly?46% of an insurance agents clients have life insurance, 40% have auto insurance and 28% have both policies. Why is the probability that a randomly selected client has life insurance or auto insurance? write the answer in decimal form.You're taking a multiple choice exam. There are 10 questions, and for each question you select exactly one of 2 possible answers. If you choose random answers for each question, what is the probability that you will answer exactly 2 questions correctly?
