Pick a person from the 100 people. Denote the event F=\"the person is female\" a

Question

Pick a person from the 100 people. Denote the event F="the person is female" and Y ="yes the person smokes". Find the following conditional probabilities
P(Y)
P(Y|F)
P(F|Y)

Suppose you have two bags each contain 100 marbles: bag1 has 70red 30blue bag 2 60 red 40 blue. You pick one randomly from bag 1 and put it into bag 2. Now you pick one randomly from bag 2. What is the probability thar you get red Pick a person from the 100 people. Denote the event F="the person is female" and Y ="yes the person smokes". Find the following conditional probabilities
P(Y)
P(Y|F)
P(F|Y)

Suppose you have two bags each contain 100 marbles: bag1 has 70red 30blue bag 2 60 red 40 blue. You pick one randomly from bag 1 and put it into bag 2. Now you pick one randomly from bag 2. What is the probability thar you get red
P(Y)
P(Y|F)
P(F|Y)

Suppose you have two bags each contain 100 marbles: bag1 has 70red 30blue bag 2 60 red 40 blue. You pick one randomly from bag 1 and put it into bag 2. Now you pick one randomly from bag 2. What is the probability thar you get red

Explanation / Answer

1)the prior information is required for above problem. you can comment on problem and I will update the answer

2)probability of red from bag 2 =P(red from first bag*red from second+blue from bag 1 and red from second)

=(70/100)*(61/101)+(30/100)*(60/101)=0.60099

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