(Solved): 3. (4 points) If \( A \) and \( B \) are independent events, \( P(A)=0.25 \), and \( P(B)=0.35 \), ...

3. (4 points) If \( A \) and \( B \) are independent events, \( P(A)=0.25 \), and \( P(B)=0.35 \), find the probabilities below. (Hint: draw a Venn Diagram for part \( d \).) a. \( P(A \cap B) \) b. \( P(A \cup B) \) c. \( P(A \mid B) \) d. \( P\left(A^{C} \cup B^{C}\right) \) 4. (4 points) Three cards are drawn at random without replacement from a standard deck of 52 playing cards. Find the probability of each of the given events: a. All three cards are aces. b. All three cards are face cards.