If batches of 7 are chosen repeatedly, what is the probability that the first group where all 7 chosen people will vote for Lenin will occur at the 10th choosing of the group? Hint let X be the number of those who will vote for Lenin and Y be the number of times a group of 7 was chosen.

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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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(Learning Competency: Solve problems involving discrete probability distributions)
A certain data science group is conducting a survey about their choice in the next election. The group will survey a
barangay consisting of 40 people where 26 will vote for Lenin while 14 will vote for Vhongs. From the 40 people, 7
people are chosen to be part of the survey.
If batches of 7 are chosen repeatedly, what is the probability that the first group where all 7 chosen people will vote
for Lenin will occur at the 10th choosing of the group?
Hint: let X be the number of those who will vote for Lenin and Y be the number of times a group of 7 was chosen.
Transcribed Image Text:(Learning Competency: Solve problems involving discrete probability distributions) A certain data science group is conducting a survey about their choice in the next election. The group will survey a barangay consisting of 40 people where 26 will vote for Lenin while 14 will vote for Vhongs. From the 40 people, 7 people are chosen to be part of the survey. If batches of 7 are chosen repeatedly, what is the probability that the first group where all 7 chosen people will vote for Lenin will occur at the 10th choosing of the group? Hint: let X be the number of those who will vote for Lenin and Y be the number of times a group of 7 was chosen.
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