Poker is a common game in which players are dealt five cards from a deck of cards. It can be shown that there are 2,598,960 different possible poker hands. The winning hands (from highest to lowest) are shown in the table below. Find the requested probability. Use a calculator. Round your answer to 7 decimal places. *All of these probabilities are mutually exclusive. That is, the 36 straight flushes do not include the 4 royal flushes, and the 5,108 flush hands do not include the better hands of straight flush or royal flush. A.) P(Royal Flush) B.) P(Two Pair)

A roulette wheel has 30 slots, consisting of 2 blues, 8 whites, and 20 red slots. You will receive P100 if the roulette stops spinning on a blue slot, you will receive P50 on a white slot, but you will be penalized P10 if the roulette stops spinning on a red slot. Let X be the amount you will recieve (or pay). What are the possible values of X? x= 2, 8, 20 x= 100, 50, -10 x= 100, 50, 10 x= 30, 2,8, 20

State if this scenario involves a permutation or a combination. Then find the number of possibilities. The student body of 10 students wants to elect a president, vice president, secretary, andtreasurer.   A - Permutation; 5,040 B - Combination; 5,040 C - Permutation; 10! D - Combination; (10 - 4)!

A team of 17 softball players needs to choose three players to refill the water cooler. What two pieces of information from this problem allow you to calculate whether this is a permutation or combination?   A - Team, players B- 17, team C - 17 players, 3 of the players D - Softball, players

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In the game of​ roulette, a wheel consists of 38 slots numbered​ 0, 00,​ 1, 2,..., 36. To play the​ game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you​ selected, you win​ $35; otherwise you lose​ $1. Complete parts ​(a) through ​(g) below.   Click here to view the standard normal distribution table (page 1). LOADING... Click here to view the standard normal distribution table (page 2). LOADING... ​(a) Construct a probability distribution for the random variable​ X, the winnings of each spin.   x ​P(x) 35 0.02630.0263 −1 0.97370.9737 ​(Type integers or decimals rounded to four decimal places as​ needed.) ​(b) Determine the mean and standard deviation of the random variable X. Round your results to the nearest penny.   μ=negative 0.05−0.05 σ=5.765.76 ​(c) Suppose that you play the game 100 times so that n=100. Describe the sampling…

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A die is rolled six times and the order of the rolls is considered. In how many ways can three 2's, two 3's, and one 4 occur? The number of ways three 2's, two 3's, and one 4 can occur is (Simplify your answer.) Enter your answer in the answer box. FEB 23 MacBook Air 80 F3 888 F2 F4 F5 F6 F7 F8 @ $ & 4 5 8 9. W E R. Y U * 00 # 3

How many ways can you draw a five card hand from a deck of cards if they are all| clubs or all hearts? O 13 C5 + 13 C5 O 52 C5 X 52 C5 O 13 C5 X 13 C5 O52 C5 + 52 C5 acer FI F10 F8 FS GOO CIO & %6 U

consider a game of 4×4 Tic-tac-toe in which a player must get four in a row to win. Determine the number of games that end on turn 7. Please dont give hand written solution