| Problem |
Solution |
|
1) The lowest number in a set of 5 numbers is 10. The range is 60 and the median is 50. What is
the biggest the mean could be?
|
1. Here are the numbers:
10 ___ ___ ___ ___
1. If the range is 60, the last number must be 70.
2. Place the median number in the above list.
10 ___ 50 ___ 70
3. Fill in the other two numbers, preserving both the maximum and the median with the highest numbers that do this:
10 50 50 70 70
4. Compute the mean of these numbers =
10+50+50+70+70/5 = 50
|
|
2) Katie and Jim play a game with 2 six sided number cubes numbered 1 through 6. When the
number cubes are rolled, Katie gets a point if the sum of the two is even and Jim gets a point if the
product is even. What is the likelihood that on one roll of both cubes neither Katie nor Jim get a point? |
Here are the sums and products of 2 dice:
SUMS
 | PRODUCTS
|
There are no dice combinations that produce an odd sum and and odd product, so the probability is 0
|
|
3) Bo, Darius, Kareena, Mary, and Paco all go with Mrs. Smart for math enrichment during math
time. When they leave she lines them up by calling out their names, but she does this randomly.
What's the probability that today Darius will be first and Paco will be last? Express your answer as
a fraction. |
1. There are 5 students total.
2. The probability that Darius will be the first is 1/5
3. After you choose the first, what is the probability
that Paco will be the last? 1/4
4. Multiply these two probabilities together to get the probability that both will happen = 1/5 x 1/4 = 1/20
|
