A card is drawn at random from a standard 52-card deck. Events G and Hare G= the drawn card is black H = the drawn card is divisible by 4 (face cards are not valued). (A) Find P(HIG). (B) Test H and G for independence.
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- Question statement is lengthy but I believe answers are quite simple. Please do it perfectly :)K has about 80% probability of making a free throw in basketball in each free throw is independent K gets to take 2 free throws in moss make both to win the game what is the probability that case team will win the gameExperiment: 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
- Four couples at a party play a game. They decide to play in teams of two and select the teams randomly. All eight people write their names on slips of paper. The slips are mixed, then drawn two at a time. How likely is it that every person will be teamed with someone other than who he or she came with? Run five trials using the random digits below. Use the digits 0 and 1 for the first couple, 2 and 3 for the second couple, etc. Trial 1 21 31 67 62 90 65 34 41 05 41 02 O Trial 2 18 42 63 38 84 57 79 21 26 01 65 Trial 3 70 09 57 20 46 48 66 52 53 09 14 Trial 4 73 47 72 43 04 89 35 91 30 88 61 Trial 5 39 76 61 98 82 08 98 07 50 24 58 Based on the simulation, it is about % likely.Q2) 10 cards numbered 1-10 are Shuffled. The top and bottom card are chosen. S: Sum of the two cards. Find the probability distribuhon of S, E(S), E (S²) and Var (x)A flush in the card game of poker occurs if a player gets five cards that are all the same suit (clubs, diamonds, hearts, or spades). Complete parts (a) through (c) to obtain the probability of being dealt a flush in five cards. C (a) Initially concentrate on one suit, say diamonds. There are 13 diamonds in a deck. Compute P(five diamonds) = P(first card is diamonds and second card is diamonds and third card is diamonds and fourth card is diamonds and fifth card is diamonds). In a standard 52-card deck, P(five diamonds) = (Round to six decimal places as needed.) (b) A flush can occur if a player receives five clubs or five diamonds or five hearts or five spades. Compute P(five clubs or five diamonds or five hearts or five spades). Note that the events are mutually exclusive. In a standard 52-card deck, P(five clubs or five diamonds or five hearts or five spades) = (Round to three decimal places as needed.) (c) A royal flush in the game of poker occurs if the player gets the cards Ten,…
- 8 A rook is placed at the bottom left corner, at each step of this game the rook can either go one square up or one square right, but not left the 10*5 board. Assume there is one obstacle on the board (stay still). How many different paths are there for the rook to take from the bottom left corner to the top right corner? And if the rook meets the obstacle then the game ends early, what is the probability the rook survives?probability that: a. 3 Cannon and 2 Schwinn are selected? a. b. all five bicycles rented are Cannon? b. c. all five bicycles rented are Schwinn? d. at least one Cannon is selected? d.None
- 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 AA gambler belives that he has learned to predict the color of a card befroe it is drawn from the deck. In order to test this, he predicts a color, draws a card from a fresh deck of 52 cards and observes its color, replaces the card, and then shuffles.He repeats this process 10 times, and finds that he got 5 predictions incorrect.Using a sign test, test the hypothesis that the gambler is getting fewer predictions inccorect than one would expect due to chance.Critical Value = ?