| Problem |
Hint |
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1) In the Monopoly board game, a player tosses two six sided dice and adds the two
resulting numbers to determine the number of spaces to move the playing piece. Albert
wants to play Monopoly with his friends but can't find the dice. He finds a 12 sided die with
the numbers 1 through 12 on it to replace the two regular 6 sided dice. What is the ratio of
the probability of rolling a 7 with the two 6 sided dice to the probability of rolling a 7 with the
12 sided die? Express your answer in the format "whole number : whole number".
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1. How many ways can you roll a 7 with 2 dice? ____
2. With a 12-sided die how many ways can you roll a 7? ____
3. To get the probability of each of these occurrences you divide the number of ways (above) by the number of possibilities for each.
Probability with 2 dice = _____.
Probability with 1 12-sided die = _____.
4. Divide the first probability by the second to get the ratio of these 2 probabilities = _____: ______.
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2) The average (mean) of 3 numbers is 21. If the smallest number is removed, the
average of the remaining 2 numbers is 27. What is the value of the number that was
removed? |
1. The sum of the 3 numbers is _____.
2. The sum of the 2 remaining numbers is _____.
3. Subtract #2 from #1 to get the 3rd number = ______
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3) On Saturday Megan likes to go to Sandwich Heaven.
Megan chooses the bread, filling,
and topping for her sandwich.
She can choose between wheat, rye, or white bread.
She
can have chicken salad, turkey, or ham for the filling.
She can also have lettuce, tomato, or
sprouts on top.
How many different sandwiches can Megan choose from if she always
chooses a filling and a topping with the bread? |
1. How many bread selections are there? _____
2. How many filling selections are there? _____
3. How many topping selections are there? _____
4. Multiply these three number of selections = _____.
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