A card is randomly drawn from a deck of well-shuffled playing cards. Let event E be that the card is a king and event F be that the card is (hearts, diamonds, clubs, and spades). Each suit contains the cards ace, 2, 3., 10, jack, queen, king. diamond. A standard 52-card deck is split evenly into four suits of cards a) Find P(E) andP(E'). b) Find P(F) and P(F). c) Find P(EUF).

A school has 200 students with 80 students taking each of the three subjects trig, probability, and basket-weaving. There are 30 students taking any given pair of these subjects, and 15 students taking all three subjects.                    A) How many students are taking non of these three subjects?                                                                                     B) How many students are taking only probability?

Please answer 9 and 10

A player is dealt 3 cards from a standard 52-card deck. Determine the probability of being dealt two of a kind (such as two aces or two kings) by answering questions a through d. ... a) How many ways can 3 cards be selected from a 52-card deck? There are ways that 3 cards can be selected from a 52-card deck. (Type a whole number.) b) Each deck contains 4 twos, 4 threes, and so on. How many ways can two of the same card be selected from the deck? There are ways that two of the same card can be selected from the deck. (Type a whole number.) c) The remaining card must be different from the 2 chosen. After selecting the two of a kind, there are 12 different ranks of cards remaining in the deck that can be chosen. Of the 12 ranks remaining, the player chooses 1 of them and then selects one of the 4 cards in the chosen rank. How many ways can the player select the remaining card? There are ways the player can select the remaining card. (Type a whole number.)