A committee has nine members. There are two members that currently serve as the board's chairman and ranking member. Each member is equally likely to serve in any of the positions. Two members are randomly selected and assigned to be the new chairman and ranking member. What is the probability of randomly selecting the two members who currently hold the positions of chairman and ranking member and reassigning them to their current positions? The probability is 0.0139. (Round to four decimal places as needed.) According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) P(B A) P(A) P(B A) P (A') P (B A') P(A B)= Use Bayes' Theorem to find P(A B) using the probabilities shown below. 5 1 1 1 P(A)=6P(A) = P(B| A)= 10 , and P (B| A')- = 2 The probability of event A, given that event B has occurred, is P(A B) 0.500 (Round to the nearest thousandth as needed.)
A committee has nine members. There are two members that currently serve as the board's chairman and ranking member. Each member is equally likely to serve in any of the positions. Two members are randomly selected and assigned to be the new chairman and ranking member. What is the probability of randomly selecting the two members who currently hold the positions of chairman and ranking member and reassigning them to their current positions? The probability is 0.0139. (Round to four decimal places as needed.) According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows. P(A) P(B A) P(A) P(B A) P (A') P (B A') P(A B)= Use Bayes' Theorem to find P(A B) using the probabilities shown below. 5 1 1 1 P(A)=6P(A) = P(B| A)= 10 , and P (B| A')- = 2 The probability of event A, given that event B has occurred, is P(A B) 0.500 (Round to the nearest thousandth as needed.)
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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I got the anwers for these questions on my quiz incorrect. Can you explain how to solve correctly?
For the first I attempted to solve with 2/9 possible chances to equal .2222
For the second I just imput the values given into the formula and recived the answer 1.083
Transcribed Image Text:A committee has nine members. There are two members that currently serve as the board's chairman and ranking member. Each member is equally likely to serve in
any of the positions. Two members are randomly selected and assigned to be the new chairman and ranking member. What is the probability of randomly selecting the
two members who currently hold the positions of chairman and ranking member and reassigning them to their current positions?
The probability is 0.0139.
(Round to four decimal places as needed.)
Transcribed Image Text:According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows.
P(A) P(B A)
P(A) P(B A) P (A') P (B A')
P(A B)=
Use Bayes' Theorem to find P(A B) using the probabilities shown below.
5
1
1
1
P(A)=6P(A) = P(B| A)= 10 , and P (B| A')-
=
2
The probability of event A, given that event B has occurred, is P(A B) 0.500
(Round to the nearest thousandth as needed.)
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