Decide whether the events are independent or dependent. Explain your reasoning.

1) Selecting a king from a standard deck, replacing it, and then selecting a queen from the deck
2) Getting 1.2 inches of rain on Monday night and having a Monday night baseball game cancelled
3) A numbered ball between 1 and 40 is selected from a bin, and then a second numbered ball is selected from the remaining balls in the bin
4) A numbered ball between 1 and 52 is selected from a bin, replaced, and then a second numbered ball is selected from the bin

1 answer

1) Independent. The selection of the king does not affect the selection of the queen.
2) Dependent. The amount of rain affects whether the baseball game is cancelled.
3) Dependent. The selection of the first ball affects the selection of the second ball.
4) Independent. The selection of the first ball does not affect the selection of the second ball.
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