15. One octahedral die (die with 8 faces) with faces marked I through 8 are constructed to beout of balance so that the 8 is 1.5 times as probable as the 2 through 7, and the sum of theprobabilities of the 1 and the 8 equals that of the other pairs on opposing faces, which arethe 2 and 7, the 3 and 6, and the 4 and 5.a. Find the probability that the number on the roll of the die is at most 3.b. Find the probability that the number on the roll of the die is at least 5.

Probability of an event: The probability of an event is the number of favourable cases for an event…

Answered: 15. One octahedral die (die with 8…

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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There are two boxes. Box A contains 6 red balls, and 4 blue balls andBox B contains 4 red balls and 8 blue balls. A die is rolled, if the number is lessthan 3, a ball is selected from box A. If the result is 3 or more, a ball is selectedfrom Box B. Calculate:a. The probability that the ball will be red and selected from Box B.b. The probability that the ball will be blue.
3B.3.2 Please refer to the attached image for my question!
Each of the questions in this boxpertains to rollinga pair of fair dice. Find the probability that the sum is less than 5 and the sum is prime.
Q4. A shipment of two boxes, each containing eight telephones, is received by a store. Box 1 contains two defective phones and box 2 contains one defective phone. After the boxes are unpacked, and all phones are mixed. Then a phone is selected and that was found to be defective. Find the probability that it came from box 2.
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.
Assume. that the probability that any child born in the population will be a boy is 0.51 and the probability that it will be a girl is 0.49. If a family has six children, what is the probability they will have 3 boys and 3 girls?
Solve Part B only for question 14 and show work for each step of the problem. Please and thank you.
A test of 50 questions can be answered by letters A, B, C and D. Find the probability that exactly 30 of the questions has a correct answer. Answer should be in 9 decimal places.
A3. Suppose that Ahmed selects a ball by first picking one of the two boxes at random and selecting a ball from this box at random. The first box contains 3 white balls and 2 blue balls, and the second box contains 1 white balls and 4 blue balls. What is the probability that Ahmed picked a ball from the second box if he has selected a white ball?

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