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1 a. You have a bowl filled with 100 balls, which are colored red or blue. You h

ID: 3358100 • Letter: 1

Question

1 a. You have a bowl filled with 100 balls, which are colored red or blue. You have 50 red and 50 blue balls. You randomly select a ball and throw it out (don't put it back in the bowl). Then you go to randomly select another bal. Is the probability that the second pick is blue independent of what the first ball color was? Why or why not. b. You have a bowl filled with 100 balls, which are colored red or blue. You have 50 red and 50 blue balls. You randomly select a ball, record the color, and put the ball back into the bowl. Then you go to randomly select another ball. Is the probability that the second pick is blue independent of what the first ball color was? Why or why not.

Explanation / Answer

1)

a)

'Probability of second pick is blue will depend on number of blue and red balls in the ball before second pick.number of blue and red balls in the ball before second pick depends on the ball that is thrown away i first pick

Probability of second pick is blue is not independent of first pick

b)

In this case ball ball picked on first chance is put back this means thr bowl looks same before second pick independent of the ball picked on first chance

Probability of second pick is blue is independent of first pick