If you re shooting for a score in the high 160s, you need to be comfortable with this crazy shit. 1. Probability a.
Mutually exclusive
b. Independent events c. Dependent events d. How to calculate probability of two events both happening e.
How to calculate probability of either one of the events happening
f.
How to calculate probability of none of the events happening
2. Permutations a. Counting problems b. Number of possibility problems c.
Difference between permutations and combinations
3. Combinations a. Counting problems b. Number of possibility problems c. 4.
Difference between permutations and combinations
Mean, median, mode, and range
a. What factors influence median; what factors influence mean 5. Standard deviation a.
You don’t need to know the formula…you need to know conceptually how it works
6. The normal curve a. How it’s broken down into percentages and standard deviations b. Conceptually how it works
Practice Problems: 1.
The probability of it raining on any one one day is 0.4. Calculate the probability of there being at least one day of rain in a five-day period.
2.
The probability of it raining on any one one day is 0.4. Calculate the probability of there being at least three days of rain in a five -day period.
3.
A and B are mutually exclusive events. If the probability of A occurring is .6 and the the probability of B occurring is .3, what is the probability of neither occurring?
4.
A and B are independent events. If the probability of A occurring is .6 and the probability of B occurring is .3, what is the probability of ne ither occurring?
5.
The standard deviation of 10 numbers is 1.4. If 5 is added to each of the numbers, what is the standard deviation?
6.
Alice, Bob, Charlie, Doug, Edward, and and Frank are sitting in a movie theater. Calculate the total number of seating arrangements if Charlie CANNOT sit next to Bob.
7.
Alice, Bob, Charlie, Doug, Edward, and and Frank are sitting in a movie movie theater. Calculate the total number of seating arrangements if Charlie CANNOT sit next to Bob and Alice MUST sit next to Edward.
8.
To win the California lottery, a person chooses 5 numbers from 1-69 (no repeats). The order of these five numbers doesn’t matter. Then, the person person chooses one number from 1-26. How many times would a player, at the minimum, have to play t his lottery to guarantee a winning ticket?
9.
Calculate the probability of selecting the correct answers in a problem that has seven answer choices (of which two are correct).
10. If 23 people are in a room, what is the probability that at least one pair of people will share a birthday? (Ignore leap years) 11. Calculate the probability of selecting a multiple of 7 in the numbers 6 – 1234, inclusive. 12. The probability of event A occurring is .5. The probability of event B occurring is .3. Calculate the range of probabilities of either A or B occurring. 13. How many different ways can the letters in the word CELLULAR be organized? 14. College Butt is putting together a team team of Buttheads. There are 10 total people on the team. Six of the people must come from a group of 12 seniors. Four of the people must come from a group of 8 juniors. How many different group arrangements are possible? 15. The scores on some stupid test are normally distributed. The mean score is 157 and the standard deviation is 43. Calculate the probability of a student’s score being in the range of 71 to 200.
