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tito purchased one raffle ticket as part of a meals on wheels fundraiser. the grand prize-winning ticket will be randomly drawn from 65 tickets sold.a. Determine the probability that Tito wins the grand prizeb. Determine the probability that Tito does not win the grand prizec. Determine the odds against Tito winning the grand prized. Determine the odds in favor of Tito winning the grand prize

User Afforess
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2 Answers

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Final answer:

The probability that Tito wins the grand prize is 1/65. The probability that Tito does not win the grand prize is 64/65. The odds against Tito winning are 64:1, and the odds in favor of Tito winning are 1:64.

Step-by-step explanation:

To determine the probability that Tito wins the grand prize, we need to find the ratio of the number of favorable outcomes (Tito winning) to the total number of possible outcomes. In this case, Tito only has one winning ticket out of the 65 tickets sold, so the probability is 1/65.

To determine the probability that Tito does not win the grand prize, we subtract the probability of winning from 1. So the probability of not winning is 1 - 1/65 = 64/65.

The odds against Tito winning the grand prize can be determined by dividing the number of unfavorable outcomes by the number of favorable outcomes. Since Tito only has one winning ticket and there are 64 tickets that are not winning, the odds against Tito winning are 64:1.

The odds in favor of Tito winning the grand prize can be determined by dividing the number of favorable outcomes by the number of unfavorable outcomes. Since Tito has one winning ticket and there are 64 tickets that are not winning, the odds in favor of Tito winning are 1:64.

User Chayim
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5 votes

Final answer:

The probability that Tito wins the grand prize is 1/65. The probability that Tito does not win the grand prize is 64/65. The odds against Tito winning the grand prize are 64:1, and the odds in favor of Tito winning the grand prize are 1:64.

Step-by-step explanation:

To determine the probability that Tito wins the grand prize, we need to calculate the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, Tito purchased one raffle ticket out of a total of 65 tickets sold. Therefore, the probability of Tito winning the grand prize is 1/65.

To determine the probability that Tito does not win the grand prize, we need to calculate the ratio of the number of unfavorable outcomes to the total number of possible outcomes. In this case, there are 64 tickets that are not the winning ticket. Therefore, the probability of Tito not winning the grand prize is 64/65.

The odds against Tito winning the grand prize can be calculated as the ratio of the number of unfavorable outcomes to the number of favorable outcomes. In this case, there are 64 tickets that are not the winning ticket and only 1 winning ticket. Therefore, the odds against Tito winning the grand prize are 64:1.

The odds in favor of Tito winning the grand prize can be calculated as the ratio of the number of favorable outcomes to the number of unfavorable outcomes. In this case, there is 1 winning ticket and 64 tickets that are not the winning ticket. Therefore, the odds in favor of Tito winning the grand prize are 1:64.

User Mohamed F
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