A junk box in your room contains fifteen old batteries, five of which are totally dead. You start picking batteries one at a time and testing them. Find the probability ofeach outcome.a) The first two you choose are both good.b) At least one of the first three works.c) The first four you pick all work.d) You have to pick five batteries to find one that works.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A box contains 12 donuts. 5 chocolate, 4 vanilla, and 3 strawberry. If two donuts are randomly chosen and then eaten (without replacement) then find the probability of choosing a. a chocolate then a vanilla b. 2 strawberry c. a strawberry then a chocolate d. 2 chocolate
You order thirteen burritos to go from a Mexican restaurant, six with hot peppers and seven without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.) At least two have hot peppers.
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.
Exam consists of 20 questions, each question has four options. If the answer of one of the students randomly. What is the probability that he ?will pass the exam 0.334 O 0.4456 O 0.01 O 0.652 O
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 .
You order sixteen burritos to go from a Mexican restaurant, seven with hot peppers and nine without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.) At least two have hot peppers.
Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.
A slot machine has 3 dials. Each dial has 30 positions, one of which is "Jackpot". To win the jackpot, all three dials must be in the "Jackpot" position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot? 1/30 = 0.03 or 3% 3/(30+30+30) = 3/90 = 0.33 or 33% 3/(30×30×30) = 3/27000 = 0.0001 or 0.01% 1/(30×30×30) = 1/27000 = 0.00003 or 0.003% Question 18
A group of people were asked if they had run a red light in the last year. 312 responded "yes", and 236 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year.
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You order sixteen burritos to go from a Mexican restaurant, nine with hot peppers and seven without. However, the restaurant forgot to label them. If you pick four burritos at random, find the probability of the given event. (Round your answer to three decimal places.) Exactly one has hot peppers.

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