Math 7 Ch 5 Review: Probability and Solving Words Problems
80
75% of what number is 60
1/36
A drawer of crayons contains 6 pink crayons, 2 yellow crayons, and 4 orange crayons. A crayon will be randomly selected from the drawer and the replaced. Then another crayon will be randomly selected from the drawer. What is the probability that a yellow crayon will be selected both times?
Systematic List
A list created by following a plan or pattern
Probability Table
A useful tool for organizing information if there are exactly two events. The possibilities for each event are listed on the sides of the table and the combinations of outcomes are listed inside the table.
Probability Tree
A useful tool for representing possible outcomes of probability experiments. The different outcomes are organized at the end of branches.
The 5-D Process
An organized method to solve problems. This is a problem-solving strategy for which solving begins by making a prediction about the answer or one element of it (a trial), and then confirming whether the result of the trial is correct. If not, information is gained about how close the trial is to the correct value, so that adjustments to the trial value may be made.
Compound Events
An outcome that depends on two or more other events
8/81
Bobby has a bag of marbles. In his bag are 8 red marbles, 7 blue marbles, 3 yellow marbles, and 9 green marbles. If Bobby randomly chooses one marble from the bag, replaces it, then chooses another marble, what is the probability that he will choose a red marble and then a green marble?
10/27
Bobby has a bag of marbles. In his bag are 8 red marbles, 7 blue marbles, 3 yellow marbles, and 9 green marbles. If Bobby randomly chooses one marble from the bag, what is the probability that he will choose a blue or a yellow marble?
1/3
Bobby has a bag of marbles. In his bag are 8 red marbles, 7 blue marbles, 3 yellow marbles, and 9 green marbles. If Bobby randomly chooses one marble from the bag, what is the probability that he will choose a green marble?
Ratio
Comparison of two quantities by division. This may be written using a colon, but is more often written as a fraction
3/28
Fred chooses a marble at random and DOES NOT replace it. He then selects a second marble at random. What is the probability that Fred selects a dotted marble both times? (Hint: pay attention to totals after the first draw)
2/27
Henry's candy jar has 3 Snickers, 1 Reese's. 1 Twix, 2 Milky Way, and 2 Skittles Packs in it. Henry will randomly draw one piece of candy from the jar, put it back and randomly choose another piece of candy. What is the probability that he will choose a Milky Way and then a Snickers?
Independent
If the outcome of a probabilistic event does not affect the probability of another event, then the events are *this*
Consecutive Integers
Integers that are in order without skipping any integers.
1/4
Martha rolls a 6 sided number cube (dice) two times. What is the probability that she will roll a prime number both times?
13
Michael and Alex went on a fishing trip and caught 18 fish. Michael caught 3 more than twice as many fish as Alex caught. Use the 5D process to figure out how many fish each boy caught. How many fish did Michael catch?
1/2
Paul will spin the spinner shown once. What is the probability that the arrow will land on a green section OR a purple section.
1/18
Paul will spin the spinner shown two times. What is the probability that the arrow will land on a green section the first time AND a purple section the second time?
1/3
Sarah was deciding what breakfast to bring to school. She has a choice of 3 drinks (milk, hot chocolate, or a Starbucks Frappuccino) and 4 food items (breakfast burrito, egg mcmuffin, donut, or a bag of chips). If she brings one drink and one food item, how many different possible breakfasts could she bring that include a Starbucks Frappuccino? (Tip: Make a probability table or tree to help)
12
Sarah was deciding what breakfast to bring to school. She has a choice of 3 drinks (milk, hot chocolate, or a Starbucks Frappuccino) and 4 food items (breakfast burrito, egg mcmuffin, donut, or a bag of chips). If she brings one drink and one food item, how many different possible breakfasts could she bring? (Tip: Make a probability table or tree to help)
Complement
The set of all outcomes in the sample space that are NOT included in the event
7/9
The table shows the colors of shirts and the number of shirts bought by customers at a store one day. Based on the data in the table, what is the probability that a random customer will NOT buy a blue shirt?
Partition
To divide into equal parts or portions
4x
Translate: The product of a number and four
x÷7
Translate: a number split into seven groups
x-4
Translate: four less than a number
x+1
Translate: one more than a number
x-1
Translate: the difference of a number and one
4-x
Translate: the difference of four and a number
7-x
Translate: the difference of seven and a number
7+x
Translate: the sum of seven and a number
2x-3
Translate: three less than twice a number
Dependent
Two events are *this* if the outcome of one event affects the probability of the other event.
Mutually Exclusive
Two events are *this* if they have no outcomes in common
81
What number is 30% of 270?
27
What number is 45% of 60?
48
What number is 80% of 60?
75%
What percent of 120 is 90?
Simulations
When conducting an experiment with an event that is unrealistic to perform, *this* can be used.
60%
180 is what percent of 300?
