Question: 1. In the game Monopoly, a player rolls two dice, counts the total number of spots, and moves that many squares. Find the chance that
1. In the game Monopoly, a player rolls two dice, counts the total number of spots, and moves that many squares. Find the chance that the player moves 11 squares ( no more and less).
2. True or false, and explain.
(a) If a die is rolled three times, the chance of getting at least one ace is 1/6 + 1/6 + 1/6 = 1/2
(b) If a coin is tossed twice, the chance of getting at least one head is 100%
3. Two cards will be dealt off the top of a well-shuffled deck. You have a choice:
(i) to win $1 if at least one of the two cards is a queen
(ii) to win $1 if the first is a queen
Which option is better? Or are they equivalent? Explain
4. The chance of A is 1/3; the chance of B is 1/10. True or false, and explain.
(a) If A and B are independent, they must also be mutually exclusive
(b) If A and B are mutually exclusive, they cannot be independent.
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