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Question

1.Consider one toss of a fair six-sided die. State the sample space of possible outcomes. State one possible random event then state the theoretical probability of that event. Explain how you know that this is the probability of the random event.

2.Describe the difference between a theoretical probability and an empirical probability. Give at least one example of each type of probability.

3.A card player claims that the probability of choosing a red jack from a well-shuffled deck of cars is 1/26 because choosing any card is equally likely and there are two red jacks in the deck of fifty-two cards. Is this an example of a theoretical probability or an empirical probability? Explain.

4.A football game official tosses a coin at the beginning of each game to determine who will have possession of the ball first. In the previous ten games the toss has come up tails four times. The official says the probability that the coin will come up tails again is 40%. Is the official referring to a theoretical probability or an empirical probability? Explain.

Use the following information to answer questions (5)-(7). Suppose that the typical work schedule for the wait staff at Sam’s BBQ Shack, which is open seven days a week, is five days on with two days off each week. A week begins on Monday and ends on Sunday. Assume that any day of the week is equally likely to be a day off.

5.What is the probability that Isaac, a waiter at Sam’s BBQ

Shack, will have Saturday or Sunday off? Show your work and round to the nearest tenth of a percent.