Question

In: Statistics and Probability

You have a drawing happen Monday were you pull out one out of four marble out...

You have a drawing happen Monday were you pull out one out of four marble out of a bag with out replacement. You then have another drawing on tuesday were you pull out one of 3 marbles without replacement. You do this every day until Thursday were you only have 1 marble left in the bag. In the bag you have 1 red marble and 3 blue marbles.

Summary: you have a drawing monday - thursday were you pull out one marble out a day. What is the probablity that you pull out a red marble on monday, the probability of it on tuesday, wednesday,Thursday

Solutions

Expert Solution

On Monday there will be four marbles, one red and three blue. So the probability of drawing a red marble on Monday = 1/4

On tuesday we will have 3 marbles, one red and two blue marbles as one blue marble is drawn on monday. So the probability the the red marble is picked on tuesday =

Probability of picking blue on monday * probability of picking red on tuesday

= (3/4)*(1/3) = 1/4

On Wednesday  we will have 2 marbles, one red and one blue marbles as one blue marble is drawn on monday and one blue marble is drawn on tuesday. So the probability the the red marble is picked on Wednesday  =

Probability of picking blue on monday * probability of picking blue on tuesday * Probability of picking red on Wednesday =

= (3/4)*(2/3)*(1/2)

= 1/4

On Thursday  we will have 1 marble, one red and no blue marbles as one blue marble is drawn each on Monday, Tuesday and Wednesday . So the probability the the red marble is picked on Thursday  =

Probability of picking blue on monday * probability of picking blue on tuesday * Probability of picking blue on Wednesday * Probability of picking red on Thursday

= (3/4)*(2/3)*(1/2)*(1/1)

= 1/4

orchestra answered 2 years ago
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