This is in Statistics and Probability. Solve the following problems. Provide clean and clear solutions thank you and Godbless. Follow the numbering.

3. A card is selected at random from a deck of cards. If A = {Hearts }, B = {Black Cards ) , and C- {Letter Cards} , what is P(AUBUC)? Note: Letter cards consist of 4 J's, 4 Q)'s, 4 K's and 4 A's. Hint: P(AUBUC) = P(A)+ P(B) + P(C) -P(AnB)-P(AnC) -PBOC+P(AnBng) a C. d. 4. Consider the table below: Male Female Total 21 years old and 14 10 24 above Below 21 years old 45 31 76 Total 59 41 100 Find the probability that the person is 21 years old and above, given she is a female. a. 10/100 b. 10/41 C. 31/100 d. 14/59 5. Consider the table below: Male Female Total 21 years old and 14 10 24 above Below 21 years old 45 31 76 Total 59 41 100 Find the probability that the person is a female, given that she is below 21 years old. a. 45/45 b. 31/100 C. 31/76 d. 59/100