Question
1-Seven cards, each containing one of the following letters C, B, T, A, E, M, and H are placed in a hat. Each letter is
1-Seven cards, each containing one of the following letters
C, B, T, A, E, M, and H are placed in a hat. Each letter is used only once. Stu will pull four cards out at random and without replacement.
The probability that Stu pulls out M, A, T, H in this order is
Express your answer as a fraction (a/b).
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2-Harry tosses a nickel 4 times.
The probability that he gets at least as many heads as tails is
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3-A bag contains four pieces of paper, each labelled withone of the digits 1, 2, 3, 4.
You draw three pieces of paper (without replacement) to form a 3 digit number (first piece of paper is first digit,etc).
The probability that your 3 digit numbe is a muliple of 3 is
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4-
How many ways can 4 CD's be chosen from a case of 10 CDs?
Hint: Although there is a formula for doing this, lets just think it through.
If you wanted to choose them in the order then there are 10 ways of choosing the first CD. After doing this there are 9 left so there are 9 ways of choosing the second CD. Similarly, there are 8 ways to choose the third CD and 7 ways to choose the fourth.But you will get the same collection if you choose the same CDs in any order so you must divide by the number of ways that these four CDs could be put in order.
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5- The probability of winning a lottery game where the winning number is made up of three digits from 0 to 9 chosen at random and the numbers may repeat is.
Your answer should be a reduced fraction.
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6-Two balls were placed in a box. Each ball was equally likelt to be red or green.
It is known that at least one of the balls is red.
The probability that both of the balls are red is
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7- A red die (sometimes called a number cube) and a blue die are tossed
Determine the probability of the red die showing a 3 and the blue die showing a 4 as a reduced fraction.
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8-John is wearing a red shirt and has a red die. Mary is wearing a green sweater and has a green die.
They are rolling their dice in a contest with a first prize of $ 10. They each roll their dice.
The probability that the sum of the numbers on the top faces of the two dice is 2 is .
Your answer should be a reduced fraction.
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9-Lucy uses 4 round beads and 5 cube head beads to make a special necklace. Lucy bought
one package of 56 triangular beads, one package of 30 round beads, six bananas,
one package of 24 cube head beads, and three fish sandwiches. She usually
makes her necklaces in the living room, but today she plans to make them in her bedroom.
She can make special necklaces with her purchases.
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10-John left his red brick house at 234 Fifth street at 4 in the afternoon. He had two quarters in his pocket.
When he got to the bakery at 15 Maple Street he paid for one 30 cent roll and got two dimes in change.
He flipped the dime several times, thinking of the that was in his bank account.
Eventually, the dime rolled down the sewer and he went home.
The amount of money left in his pocket when he got home was cents.
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11- Max has a rectangular plot that is 80 square meters in area. He keeps his five goats,
his twelve chickens and his brown and white horse in the plot which is enclosed on all four sides by a white picket fence. The length of the plot is 10 meters.
So the total length of the white picket fence is meters.
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12-If the positive numbers from 1 to 59, inclusive, are written on a piece of paper, then the sum of all of the digits that are written on the paper is .
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