Please solve each questions step by step

Conditional probability may need to be considered with independent/dependent events. For example: You draw a card from a deck and, without replacing it, you draw a second card.

1 st draw: 2nd draw:

You flip a coin. You flip the coin again.

1 st flip: 2nd flip:

Events are considered to INDEPENDENT EVENTS be independent if: Events E and F are independent events if P(FE) = P(F) or P(E|F) = P(E). PRODUCT RULE FOR INDEPENDENT EVENTS Events E and F are independent events if and only if P(EnF) = P(E) . P(F)