I would like some detailed explanation for the following:

B) You pick one card. P(club) = 13/25 P(2) = 2.94% P(2 and club) = P(2 or club) = P[club) = P(heart and club) = P(2 or king) = P(black | club) = 9) You pick 2 cards. Without replacement: P(club and heart) = P(both clubs) = P(black| club] = P(club/heart) = 10) Out of 100 people, 47 are taking algebra (don't assume they are ONLY taking algebra), 26 are taking biology (don't assume they are ONLY taking biology), and 10 are taking both algebra and biology. Find PIA) = P(B)= P(A and B) = PIA Or B) 11 / Find the following probabilities of picking 1 student that is Freshman Sophomore: Female 26 23 Male 30