... from a deck. The outcome of the first card, as long as it is replaced, has no effect on the probability of the outcome of the second card. On the other hand, when the occurrence of the first event ... then a die is rolled, the outcome of the coin in no way affects or changes the probability of the outcome of the die. Another example would be selecting a card from a deck, replacing it, and then ... houses in the United States as the sample space, the probability would be very small. However, if you used only the houses in the states that border the Atlantic Ocean as the sample space, the probability...