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- A wheel of fortune has 5 sectors, 1 green, 2 red and 2 yellow. The oered game has the following rules: If the wheel stops at the green sector, you win. If the wheel stops at a red sector, you loose. If the wheel stops at a yellow sector, you shall roll the wheel again.Calculate P(win after one roll), P(win after two rolls), P(win after three rolls) and P(win)In a deck of 52 playing cards (jokers not allowed), how many five-card poker hands containing two pair (but not 3 or 4 of a kind) are possible?In a gambling game, I roll two dice and win $1 if the sum of my two rolls is largerthan 7. I lose $1 if the sum of my two rolls is smaller than 7. In any other cases, Idon’t lose or win anything. I am going to repeat this game 72 times. c) Now make a box model for the number of times I win, including the values onthe tickets, the number of repeats of each ticket, and how many draws we willmake with replacement from the box. The average of the tickets in the box from (c) is ___________ and the SD is___________.
- 9) The game of Euchre uses the 9s, 10s, Jacks, Queens, Kings, and Aces from a standard deck of cards (24 total). There are 4 cards for each type, and they are divided into four different suits: Spades, Hearts, Diamonds, and Clubs. Additionally half of the total cards are either black or red. If you were to make a 5-card hand, how many hands are possible: a) Without restriction? b) That contain exactly 2 Hearts c) That contain at least 1 Ace? MDM FridaIf two states are selected at random from a group of 10 states, determine the number of possible outcomes if the group of states are selected with replacement or without replacement. If the states are selected with replacement, there are possible outcomes.I need help on both questions. Thank you in advance!
- “ You are dealt five cards from a standard deck of 52 cards. How many of these hands have at least one queen and at least one spade. ” He breaks this into two cases. In the first case, he looks at hands which contain the queen of spades Q♠. There is 1 way of choosing the Queen of Spades, and 51C4 ways of choosing the other four cards. In the second case, he will start by choosing a non-spade queen (3 ways) and a non-queen spade (12 ways). There are 50 cards remaining, so he also throws away the Queen of Spades so that he doesn’t overlap case 1. This gives 49C3 ways of choosing the last three cards. He concludes that the answer is 51C4 + (3 · 12 · 49C3). His answer is incorrect. Explain why, and give the correct answer.11. You deal 7 cards off of a 52-card deck and line them up in a row. How many possible lineups are there in which not all cards are red?You are trying frantically to get dressed, and you need to reach into your sock drawer to get two matching socks in the dark. Your sock drawer contains 20 socks, consisting of 10 matched pairs. All of them are only black or white, and they are loose, disorganized randomly, and not bound together. This means you have 10 black and 10 white socks in your disorganized drawer. This makes 10 total matching pairs of 5 pairs of white and 5 pairs of black. 1. How can you guarantee success of picking a matching pair? In other words, what is the minimum number of socks needing to be picked to guarantee a matching pair? (Hint: There is a right answer to this question!) 2. Explain dependent and independent trials