PART 3 - "AND" Since there are two O's (zeros) on the board, let's find the probability that we'd be able to cover them

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Part 3 And Since There Are Two O S Zeros On The Board Let S Find The Probability That We D Be Able To Cover Them 1 (46.05 KiB) Viewed 42 times

PART 3 - "AND" Since there are two O'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 rolla 0 AND then we roll 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) = _ 16. Find P(O and O). 17. Interpret P(0 and 0) in a meaningful sentence. 18. Find 1 - P(0 and o). 19. Interpret 1 - P(0 and 0) in a meaningful sentence. 20. Find and interpret P(O 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: Plat 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 on a single turn) = 1 - We have almost a % chance of getting at least one 0 in 3 turns! 24. Find P(at least one 0 in 12 turns).