Please help me I have been working on this all night and have been sturggling, this is not my strongest chapter.
Let’s play Monopoly! (The actual playing is optional). Here are the rules for play. Each person starts with $1500 divided as follows: 5-$1’s, 5-$5’s, 5-$10’s, 6-$20’s, 2-$50’s, 2-$100’s, and 2-$500. A turn consists of rolling a pair of six-sided dice and taking the sum. If you roll doubles, you get to roll again. If you roll three doubles in a row, you go to Jail. To get out of Jail a player may, roll doubles on any of their next three turns, use a “Get out of Jail Free” card, or pay $50. For the purposes of this test, we will only consider getting out of jail by rolling doubles. For a nice image, with readable space labels, see http://en.wikipedia.org/wiki/Monopoly_(game). Under “US versions” there is a heading “Standard (American Edition) Monopoly game board layout as of September 2008”. On the right side of this heading is a link “show.” Click on that and the image of the board should become visible.
1. If you are handed your $1500 in a pile, what is the probability of selecting a $5 bill at random from the pile? What is the probability of selecting a bill worth at least $5?
2. You are on North Carolina. Your opponent owns Short Line, Park Place and Boardwalk, and has spent some dough on major improvements. You own the green properties and you need to get to “Go” safely or past “Go” – without paying any money to anyone! What is the probability you will reach Go or past Go without paying rent or taxes?
3. Your token is on Illinois Avenue, four spaces after “Free Parking”. What is the probability of landing on “Go To Jail” in your next turn on one roll?
4. After playing a few turns, you end up in jail. What is the probability of getting out by rolling doubles? (You have three turns to get out using doubles.)
Let’s play Monopoly! (The actual playing is optional). Here are the rules for play. Each person starts with $1500 divided as follows: 5-$1’s, 5-$5’s, 5-$10’s, 6-$20’s, 2-$50’s, 2-$100’s, and 2-$500. A turn consists of rolling a pair of six-sided dice and taking the sum. If you roll doubles, you get to roll again. If you roll three doubles in a row, you go to Jail. To get out of Jail a player may, roll doubles on any of their next three turns, use a “Get out of Jail Free” card, or pay $50. For the purposes of this test, we will only consider getting out of jail by rolling doubles. For a nice image, with readable space labels, see http://en.wikipedia.org/wiki/Monopoly_(game). Under “US versions” there is a heading “Standard (American Edition) Monopoly game board layout as of September 2008”. On the right side of this heading is a link “show.” Click on that and the image of the board should become visible.
1. If you are handed your $1500 in a pile, what is the probability of selecting a $5 bill at random from the pile? What is the probability of selecting a bill worth at least $5?
2. You are on North Carolina. Your opponent owns Short Line, Park Place and Boardwalk, and has spent some dough on major improvements. You own the green properties and you need to get to “Go” safely or past “Go” – without paying any money to anyone! What is the probability you will reach Go or past Go without paying rent or taxes?
3. Your token is on Illinois Avenue, four spaces after “Free Parking”. What is the probability of landing on “Go To Jail” in your next turn on one roll?
4. After playing a few turns, you end up in jail. What is the probability of getting out by rolling doubles? (You have three turns to get out using doubles.)
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1. There are a total of 27 bills, 5 of which are $5 bills. The probability of selecting a $5 bill at random is 5/27 = .1852
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