Identify if the two events are independent or dependent. Explain 3 to 5 sentnces

Answer 1

1. Rolling a fair six-sided die and flipping a fair coin - These events are independent because the outcome of rolling the die does not affect the outcome of flipping the coin, and vice versa. The probability of rolling a specific number on the die does not impact the probability of the coin landing on heads or tails.

2. Drawing a red card from a standard deck of 52 cards and then drawing a black card without replacing the first card - These events are dependent because the outcome of drawing the first card (a red card) affects the probability of drawing a black card on the second draw. Since the first red card is not replaced, the composition of the deck changes, making the events dependent.

In summary, independence means that the occurrence of one event does not affect the occurrence of another event, while dependence implies that the outcome of one event is influenced by the outcome of another event. In the examples provided, the first set of events are independent, while the second set of events are dependent.