Find each of the following probabilities if the probability that A occurs is 38%, and theprobability that the event B occurs is 32.6%. A and B are independent events. Writeeach answer as a decimal accurate to four decimal places.a. The probability that both event A and event B occur:b. The probability that either event A or event B or both occur:c. The probability that event B does not occur:d. The probability that event A does not occur, and event B does occur:Submit QuestionMacBook ProescF1F2F3F4F7ER#32443.QWtabaps lockDH.altcontral

Independent event means their intersection probability is equal to their product

Answered: Find each of the following…

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.
Two ball are drawn in succession without replacement from an urn containing 2 white and 4 red balls. Find the probability that the first is white or the second ball is white. Select one: O a. 0.6 O b. 0.3 O c. 0.633 O d. 0.653
Give the probability in decimal form (correct to two decimal places). A calculator may be helpful.One year in Ferndale, California, it rained on 102 days. If one day of that year is randomly selected, what is the probability of rain on that day? (Assume that this was not a leap year.)
You are given the following information about events A, B, and C. • The probability of event A occurring is 0.5. • The probability of only event A occurring is 0.24. • Events B and C are mutually exclusive. • The probability of C occurring is 1.5 times the probability of B occurring. • The probability of none of the events occurring is 0.18. • The probability C occurring and A not occurring 0.17. Find the probability of event B NOT occurring. 0.699 0.791 0.722 0.768 0.745
If the probability is 0.37 that a candidate loses the election, what is the probability that he wins? ..... The probability the candidate wins the election is. (Simplify your answer. Type an integer or a decimal.)
Find the indicated probability. If P(A or B) = 0.8, P(A) = 0.3, and P(A and B) = 0.15, find P(B). P(B) =| (Simplify your answer. Type an integer or a decimal.)
Given that the probability of a family owning a dog is 0.91, and the probability of a family owning a cat and a dog is 0.15, what is the probability of a family owning a cat given that the family owns a dog?
Determine which of the following numbers could not represent the probability of an event. 440 35 1219 22 0,0.019, - 0.6, 40%, Select all that apply. OA. 0 B. 35 22 O C. 440 1219 O D. -0.6 E. 0.019 F. 40%
Suppose you have the numbers 100–999 written on individual pieces of paper and placed in a hat. If you draw a number from the hat, what is the probability that all three digits are different? (State your answer as a probability: a fraction, decimal, or percent).
Let A and B be two events such that the probability of B is 0.5 and the probability of both is 0.2. Find the probability of A given that B occurs.
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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