A bag contains 31 checkers—13 red and 18 black. Determine whether the events "a red checker is selected, not replaced and then a black checker is selected" are independent or dependent, and find the probability.

dependent, 39/155

Step-by-step explanation:

Since the checkers are not replaced, the events are dependent since the number of checkers in the bag  when you pick the second time depends on the first pick.

31 checkers—13 red and 18 black.

P(red) = red/ total

          = 13/31

Keep the checker

Then 30 checkers—12 red and 18 black.

P(black) = black/ total

          = 18/30 = 3/5

P ( red, keep,black) = 13/31 *3/5

                                   39/155

i hope this is what you were looking for.

see attached graph