1. Nine students ask to visit a college admissions counselor. Each scheduled visit includes one student. In how many ways can they be scheduled?
**They can be arranged in 45,360 different ways.**
2. Evaluate 8P2
Using the permutation formula,
**The answer is 8P2 = 56**
3. A store received an order of 50 shirts. 20 of the shirts are blue. If one shirt is chosen out of the 50 at random, what is the probability the shirt will not be blue? Give answer as a percent.
(NEED HELP)
4. Classify each pair of events as dependent or independent.
a. A student in your algebra class is selected at random. One of the remaining students is selected at random.
b. You select a number 1 through 6 by tossing a standard number cube. You select a second number by tossing the number cube again.
(NEED HELP)
5. Sam rolled a standard number cube 20 times. He rolled a five 6 times. What is the experimental probability of rolling a 5 based on Sam’s experiment? Give answer as a simplified fraction.
(NEED HELP)
6. Jill is in Math Club. There are 20 students in the club. The sponsor will pick two students at random to run the meeting. What is the Probability that Jill will not be picked? Give answer as a decimal.
(NEED HELP)
7. A store has the following candles in a basket:
6 vanilla
4 blueberry
3 cinnamon
2 lemon
A customer bought 4 candles from the basket, one of each scent. If the next customer selects 1 of the remaining candles at random, what is the probability to the nearest whole percent that it will be a cinnamon scented candle?
**5 + 3 + 2 + 1 = 11 = 2, 5.25/11 = 6%**
8. A jar contains four blue marbles and two red marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble. Find the probability of each event to the nearest tenth of a percent.
a) The first marble is blue and the second is red
b) Both marbles are blue
(NEED HELP)
9. A box contains 8 yellow, 3 orange and 5 purple candies. A tray contains 7 red, 4 blue and 9 orange drinks. If Asia chooses one candy and one drink without looking, what is the probability that she will get a yellow candy and not an orange drink. Give your answer as a simplified fraction.
**8 + 3 + 5 = 16 Candies
7 + 4 + 9 = 20 Drinks
8/16 = 50%
11/20 = 55%**
10. Using a 12 sided number cube, what is the probability that you will roll an even number or an odd prime number? The number 1 isn’t an odd prime. Give answer as a decimal rounded to three decimals.
**10/12 = .834**
11. Each person in a group of students was identified by year and asked when he or she preferred taking classes: in the morning, afternoon, or evening. The results are shown in the table. Find the probability that the student preferred morning classes given he or she is a senior. Round to the nearest thousandth.
Freshman Sophomore Junior Senior
Morning 19 2 6 16
Afternoon 17 3 13 15
Evening 8 14 9 7
**16/146 = 0.109589041 = 0.110**
12. The probability that a dessert sold at a certain café contains strawberries is 26%. The probability that a dessert contains both strawberries and whipped topping is 18%. Find the probability that a randomly chosen strawberry dessert contains whipped topping. Round to the nearest tenth of a percent.
**.18/.26 = 69.2%**
13. Carter High divides students into advisory classes by a group of teachers. The table shows the number of students in each class.
Class Number of Students
Alexander 34
Garza 28
Jones 36
Kelley 27
Tesco 35
Total 160
The principal uses a computer to randomly select the name of a student from all the students in the advisory classes. With the computer program, it is possible to draw the name of the same student twice. If the principal selects the name of a student from the Jones class on the first try, what is the probability she will draw the name of another student from the Jones class on the second try? Give your answer as a simplified fraction.
**35/160 = 7/32**
14. Find the mean, median and mode of the following data.
16, 19, 21, 18, 17, 22, 14, 18
**Mean: 18.125
Median: 18
Mode: 18**
15. Find the mean, standard deviation and variance for the following data.
3.1, 4.5, 7.8, 7.9, 8.0, 9.6, 11.6
**Mean: 7.5
Standard Deviation: 2.8890598240027
Variance: 8.34666….**
Can someone check my answers? My answers are in "****"
I need help with a few, but I need my answers checked.
1. 9! = 362880
2. yes 56 https://www.calculatorsoup.com/calculators/discretemathematics/permutations.php
3. 30/50 = 60% yes
4. Have to put it back to be independent. Therefore first one is dependent.
5. 6/20 = 30%
6. 19/20 * 18/19
7. 2/11 * 100 = 18 %
8a 4/6 * 2/5
8b 4/6 * 3/5
9. 3/16 TIMES 11/20
two independent events, both needed
getting bored