Answer the problem involving permutations with restrictions. SHOW YOUR SOLUTION. 1.) There are 4 different statistics books and 5 different probability books. In how ways can the books be arranged on a shelf if a.) there are no restrictions? b.) Books of the same subject must be placed together? c.) they must be placed alternately?

Answer the problem involving permutations with restrictions. SHOW YOUR SOLUTION. 1.) There are 4 different statistics books and 5 different probability books. In how ways can the books be arranged on a shelf if a.) there are no restrictions? b.) Books of the same subject must be placed together? c.) they must be placed alternately?

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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2. A bag contains 30 black and 40 white balls. What is: a) the probability of grabbing a white ball? b) the probability of grabbing a white, then a black, then another white ball (without replacement)? c) the probability of grabbing a white, then a black, then another white ball (with replacement)?
proper explanation is required.
Answer number 1
Please answer all subparts.
A school has 200 students with 80 students taking each of the three subjects trig, probability, and basket-weaving. There are 30 students taking any given pair of these subjects, and 15 students taking all three subjects. A) How many students are taking non of these three subjects? B) How many students are taking only probability?
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1. A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag. a) Construct a probability tree of the problem. b) Calculate the probability that Paul picks two black balls
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Solve and give Explaination