1. A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 5 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 on his first try? Round to six decimal places.   2. A bag contains 7 red marbles, 6 white marbles, and 8 blue marbles. You draw 3 marbles out at random, without replacement. Find the following probabilities and round to 4 decimal places. a. The probability that all the marbles are red is  b. The probability that none of the marbles are red is    3. Chad buys a bag of cookies that contains 9 chocolate chip cookies, 7 peanut butter cookies, 6 sugar cookies, and 5 oatmeal cookies. What is the probability that Chad randomly selects a chocolate chip cookie from the bag, eats it, then randomly selects a sugar cookie? (Round to 4 decimals)

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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1. A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 5 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 on his first try? Round to six decimal places.

 

2. A bag contains 7 red marbles, 6 white marbles, and 8 blue marbles. You draw 3 marbles out at random, without replacement. Find the following probabilities and round to 4 decimal places.

a. The probability that all the marbles are red is 

b. The probability that none of the marbles are red is 

 

3. Chad buys a bag of cookies that contains 9 chocolate chip cookies, 7 peanut butter cookies, 6 sugar cookies, and 5 oatmeal cookies. What is the probability that Chad randomly selects a chocolate chip cookie from the bag, eats it, then randomly selects a sugar cookie? (Round to 4 decimals)

 

 

 

 

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