2 A card is drawn from a standard pack of cards. a Draw a Venn diagram to show the following: A is the set of aces B is the set of picture cards C is the set of clubs b From your Venn diagram find the following probabilities. i) P(ace or picture card) ii) P(not an ace or picture card) iii) P(club or ace) iv) P(club and ace) v) P(ace and picture card)

Experiment: Selecting a single card from a standard playing deck. Which has 4 suits (Hearts, Clubs, Spades, and Diamonds) and 13 Cards per suit (2-10, Jack, Queen, King, Ace) .  So there are a total of 52 cards. Event A = Pulling an even number card (2,4,6,8,10) Event B = Pulling a Diamond Card Event C = Pulling a Face Card (Jack, Queen, King) All answers should be represented as a proportion: Round all answers to 4 decimal places Calculate P(A) Calculate P(B) Calculate P(B ∩ Cc) Calculate P(A ∩ C) Calculate P(A ∪ B) Calculate P(C ∪ Ac) Calculate P(C | B) Calculate P(A | C) Event A is independent of Event B Event B is independent of Event A

Michelle and Kim are playing a tennis match. The winner will be the first person to win two sets. Kim is the better player, and in fact whenever they play a set the probability is 2/3 that Kim will win the set. (Hint: Draw a tree diagram for a three set match)  a) what is the probability that Michelle will win the match? b) if she wins the first set, what then is the probability that she will win the match? c) what is the probability that she wins the first set given that she wins the match?  d) what is the probability that the match will last for three sets?

Cards You are dealt a hand of three cards, one at a time.Find the probability of each of the following.a) The first heart you get is the third card dealt.b) Your cards are all red (that is, all diamonds or hearts).c) You get no spades.d) You have at least one ace.

For #9- 12, one card is selected at random from a deck of cards. Determine the probability of selecting each of the following. 9. a 7 a) 1/52 b)1/13 c) 3/13 d) 1/4 10. the 10 of clubs a) 1/52 b)1/13 c) 3/13 d) 1/4 11. a diamond a) 1/52 b)1/13 c) 3/13 d) 1/4 12. a picture card a) 1/52 b)1/13 c) 3/13 d) 1/4

Assume that 2 cards are drawn from a standard​ 52-card deck. Find the following probabilities. ​a) Assume the cards are drawn without replacement. Find the probability of drawing a. non-face card followed by a non-face card. ​b) Assume the cards are drawn with replacement. Find the probability of drawing a non-face card followed by a non-face card.       Question content area bottom Part 1 a. The probability of drawing a non-face card followed by a non-face card without replacement is enter your response here. ​(Simplify your​ answer.)

Experiment: Selecting a single card from a standard playing deck. Which has 4 suits (Hearts, Clubs, Spades, and Diamonds) and 13 Cards per suit (2-10, Jack, Queen, King, Ace) .  So there are a total of 52 cards. Event A = Pulling an even number card (2,4,6,8,10) Event B = Pulling a Diamond Card Event C = Pulling a Face Card (Jack, Queen, King) All answers should be represented as a proportion: Round all answers to 4 decimal places Calculate P(A) - 0.3846 Calculate P(B) - 0.2500 Calculate P(B ∩ Cc) - 0.1923 Calculate P(A ∩ C) Calculate P(A ∪ B) Calculate P(C ∪ Ac) Calculate P(C | B) Calculate P(A | C) Event A is independent of Event B Event B is independent of Event A

6. A bookstore is giving out bookmarks to its customers. Customers can choose from 4 colors (green, red, orange, or blue) and 2 styles (cloth or paper). a. Use a tree diagram to find all the possible bookmark types. b. Spencer picks a bookmark at random from a box that contains one bookmark of each type. What is the probability that he will choose an orange cloth bookmark?

A As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). a. If a card is randomly selected, what is the probability of drawing a(n) 10 of one suit? b. If a card is randomly selected, what is the probability of drawing club or diamond? c. If a card is randomly selected, what is the probability of drawing a number smaller than 3 (counting the ace as a 1)?

4.) Find the probability of getting the following 5-card poker hands. (a) A royal flush (A, K, Q, J, 10 of a single suit.) (b) A straight (5 cards in a row, not all of the same suit, with ace either high or low) c) Three of a kind (exactly 3 cards of the same kind) (d) Exactly 2 different suits