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3. Let's quantify our strategy What is the probability that we will be able to cover each in the dice tables cannot be filled in shade it in with your pencil/pen. Give the fraction w number? Complete the dice tables to help you complete the probability distribution, w the decimal forms (rounded to three decimal places). 3 2 4 5 1 6 Subtract Add 6 345 1 5 4 2 3 01 2 1 1 2 71 3456 1 2 34 8 4 5678 2 1 6 78 ។ 4 5 6 7 8 9. 2 1 O 1 2 3 5078 1 10 6 7/8/9 4/3 10 11 21 01 3210 7 8 9 10 5 11 12 2 3 4 6 3 4 1 2 6 1 2 3/4 5 6 1 2 3/4/5 6 2 4 6 8 10 12 2262 10 3 36/9 1223 3 1 4/8 12/0 722 4.25 1 9 10 5 10 2 011 5 6/12/3 5 10 2 1 (1 21 O 6 63311 1 1 Number Probability Distribution 0 1 2 3 4 Probability (fraction) 119 5 6 7 12 8 9 10 11 14 11. 12 117 588 7 117 Probability 117 117 117 & 117 (decimal) 0.05 0.15 0.145 0.19 0.095 0-077 0·0950 117 117 117 117 117 • 10.051 0.059 0.043 0.003 Be sure to have your instructor check the table below before you continue. You need correct answers to correctly complete the rest of the activity. 10.0180.069 4. Would you play the game differently now that you know the probabilities? Explain. Include specific examples. >No, the way we played we played Dividing was a good day to play the game! adding: Subtracting, m and muitypling (T TAPET 12.47 106977 3 4 2 6 Multiply 1 1 2 5 6 3 4 5 Se 3 4 4 ev 5 6 Divide 1 2 3 14 2 50 To 5. Use the probability dre order in which you explaining your s 1+ APP XX
the ch Floa PART 3 "AND" Since there are two 0's (zeros) on the board, let's find the probability that we'd be able to cover them on two consecutive turns. We can think of this as an AND probability; that is, we roll a 0 AND then we roll 0 again. 14. Are the events of rolling two consecutive O's independent or dependent? Explain. 15. Copy the probability rule that applies: P(A and B) = APR Com 16. Find P(0 and 0). репо 17. Interpret P(0 and 0) in a meaningful sentence. 3 18. Find 1-P(0 and 0). 19. Interpret 1-P(0 and 0) in a meaningful sentence. 20. Find and interpret P(0 and 0 and 0). PART 4-"AT LEAST" Suppose we play this game often. What is the probability that in 3 turns at least one toss of the dice would allow us to cover the zero? (This is similar to finding the probability of rolling doubles and getting out of jail within three turns in Monopoly.) This means that one turn, two turns, or even all three turns would give us the option to cover zero. We are eliminating the chance that none of our turns give us a zero, and thus calculating a NOT probability. 21. From the probability distribution table above, find P(0) and P(not 0). 22. Copy the probability rule that applies: P(at least one A in B trials) = 23. Looking at our problem, we have the following: P(at least one 0 in 3 turns) 1-P(not 0 on a single turn)³ 1-L We have almost a % chance of getting at least one 0 in 3 turns! 24. Find P(at least one 0 in 12 turns).