You have a blased coin that comes up Heads with probabliity 2/3 and Tails withprobability 1/3. You flip this coin four times in a row.Let A be the event that you get exactly two Heads.Let B be the event that the first flip comes up Heads.Which of the following statements is true?O Events A and B are dependent, and p(AB) > p(A).Events A and B are dependent, and p(AB) < p(A).Events A and B are independent.More information is needed to conclude any of the other statements.

Answered: Image /qna-images/answer/355ae706-088f-4d48-a919-923a2df4f96a.jpg

Answered: probability 1/3. You flip this coin…

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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Recall from Example 1 that wherever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, two green ones, four white ones, and two purple ones. She grabs seven of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT (See Example 1.) She has at most one green one.
Which of the following is a false statement? O If two events are dependent, the probability of one event effects the probability of the other If two events are dependent, they cannot occur together. OIf two events are independent, the probability of one event has no effect on the probability of the other. If one event is dependent on another, then the second event depends directly on the outcome of the first event. acer F12 Sa Lk Pause Break PriSc F10 F11 F7 F8 F9 F5 420 & %
Current Attempt in Progress Use the information that, for events A and B, we have P(A)= 0.5, P(B) = 0.2, and P(A and B)= 0.1. Find P(A or B). Enter the exact answer. P(A or B) =
Show all workings - use formulas: A group consists of 10 girls and 8 boys. A team of 9 are to be selected from this group. What is the probability that the team selected will consist of 5 girlsand 4 boys, but will not include ANY of 4 specific boys?
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Jeri is listening to the songs on a new CD in random order. She will listen to two different songs, and will buy the CD if she likes both of them. Assume that there are 10 songs on the CD and that she would like 5 of them. Before she had listened to any of the songs on the CD, what would have been the probability that she would buy the CD? Hint: To find this probability, first find the number of combinations of 2 out of the 5 songs that she likes (how many different combinations of 2 out of the 5 songs are there?). Then find the number of combinations of 2 out of the 10 songs on the CD (how many different combinations of 2 songs can she pick from the CD?). Take the number of combinations of the 5 songs she likes and divide that by the number of combinations of the 10 songs.. Question 7 options: A. 10/45 or 22% B. 10/120 or 8.3% C. 4/9 or 44% D. 45/10 or 450%

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