(a) Pr(B|A) = 1/2.(b) Pr(B) = 4/7.(c) Pr(A|B) = 7/13.(d) The events A and B are mutually exclusive.(e) The events A and B are independent. A bag contains 4 green balls and 3 red balls. A ball is selected at random from the bag. Ifit is red it is returned to the bag, but if it is green it is not returned. A second ball is thenselected at random from the bag. Let A be the event that the first ball is green and B bethe event that the second ball is green. Explain whether each of the following statementsis true or false:

Given that, A bag contains 4 green balls and 3 red balls. A ball is selected at random from the bag.…

Answered: (a) Pr(B|A) = 1/2. (b) Pr(B) = 4/7. (c)…

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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These marbles are placed in a bag and two of them are randomly drawn. O What is the probability of drawing two blue marbles if the first marble is placed back in the bag before the second draw? Give your answer as a rational number, reduced to simplest terms. [?] Hint: Multiply the probability of the 1st Event by the probability of the 2nd Event to get your answer. Enter
A college finds that 10% of students have taken a distance learning class and that 40% of students are part time students. Of the part time students, 20% have taken a distance learning class. Let D = the event that a student has taken a distance learning class and E = the event that a student is a part time student. For each part, show how you derive your answer. Show formulas if appropriate. (a) Find P(D and E) (b) Find P(D or E)
It doesn’t show the last parts (e) P(N or M) Are the events N= no reaction and M= mild reaction mutually exclusive? Explain. Yes. P(N and M) = 0. Yes P(N or M) = 0. No. P(N or M) ≠ 0. No. P(N or M) ≠ 0. (f) Are the events N = no reaction and W= washing oil off within 5 minutes independent? Explain. Yes P(N and W) = P(N) • P(W). No. P(N and W) ≠ P(N) • P(W). Yes. P(N and W) ≠ P(N) • P(W). No. P(N and W) = P(N) • P(W).
K 7 The probability that a bachelor's degree recipient in 2014 majored in biology is 20 Set-up an equation to find the odds of the event occurring. P(E) P (E') 20 20 (Type whole numbers.) .. 6 The odds of a bachelor's degree recipient in 2014 majoring in biology occurring are (Type whole numbers.) Find the odds of the event occurring. to
E and F are mutually exclusive events. P (E) = 0.91; P(F) =0.42 . Find P (E| F )
For Discrete Math
Suppose that events A and B are mutually exclusive with P(A) = 1 2 and P(B) = 1 6 . (Enter your answers as fractions.) (a) Are A and B independent events? Explain how you know. Since the events are mutually exclusive we know P(A|B) = which P(A) and thus the events are . (b) Are A and B complementary events? Explain how you know. We know that P(A) + P(B) = . And, since P(A) + P(B) 1, the events A and B complementary events.

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(a) Pr(B|A) = 1/2. (b) Pr(B) = 4/7. (c) Pr(A| B) = 7/13. (d) The events A and B are mutually exclusive. (e) The events A and B are independent.