Problem #1: You throw two dice or one die twice and record the two numbers. Draw
ID: 3021675 • Letter: P
Question
Problem #1: You throw two dice or one die twice and record the two numbers. Draw a TABLE that shows ALL the possible combinations of the two numbers, for example the top left box would be (1,1). You can write the sum of the two numbers in the box also (1 + 1) = 2. (You should have 36 boxes).
In a word, this is “Craps”, a dice game that Las Vegas makes billions on. Let’s calculate some probabilities that show why the “House” ALWAYS wins. It’s all about the odds. On your first toss of the two dice, IF they total 7 or 11 you win. BUT, if they total 2, 3 or 12 you lose.
What are the two probabilities for these possibilities?
Let’s say none of these totals came up. Instead the totals were 4, 5, 6, 8, 9, 10. What is their total probability?
To win now on the next toss you must get that same total. BUT if you get the 2, 3, 12 OR a 7 OR 11, you lose. Let’s say you got an 8 on your first toss.
What is the probability of getting and 8 on the next toss to win?
What is the probability of getting a losing number?
Explanation / Answer
Problem #1: You throw two dice or one die twice and record the two numbers. Draw a TABLE that shows ALL the possible combinations of the two numbers, for example the top left box would be (1,1). You can write the sum of the two numbers in the box also (1 + 1) = 2. (You should have 36 boxes).
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First Die Second Die Sum 1 1 2 1 2 3 1 3 4 1 4 5 1 5 6 1 6 7 2 1 3 2 2 4 2 3 5 2 4 6 2 5 7 2 6 8 3 1 4 3 2 5 3 3 6 3 4 7 3 5 8 3 6 9 4 1 5 4 2 6 4 3 7 4 4 8 4 5 9 4 6 10 5 1 6 5 2 7 5 3 8 5 4 9 5 5 10 5 6 11 6 1 7 6 2 8 6 3 9 6 4 10 6 5 11 6 6 12Related Questions
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