Permutations/Combinations
P/C continued...
Conditional Probability
Independent/Dependent
100
You have 122 songs on your phone. 48 are pop songs. What is the probability that you randomly select a pop song?
24/61 = 39%
100
You are selecting 4 people to be on the debate team from 10 candidates. What is the probability that Billy Bob, Jimbo, Bubba, and Dane are chosen in any order?
1/210 = .5%
100
Find the probability that the individual surveyed is a male, given he likes SUV's.
7/52 = 13%
100
Determine whether the events are independent or dependent.
a) Picking a king on the first draw and picking a diamond on the second draw. First draw gets replaced.
b) Picking a red jack on the first draw and picking an even card that is a club. First draw is not replaced.
a) Independent
b) Dependent
200
Right after Bingo, your grandma and grandpa like to participate in a raffle. In the raffle bag are numbers 1-60. What is the probability of selecting a number divisible by 5?
1/5 = 20%
200
A spinner has numbers 1-10 on it. Find the probability of landing on a number greater than 4 or divisible by 2.
4/5 = 80%
200
80 students participated in a surveying asking them if they liked Lollipops or Peanut Butter Cups better.
a) Fill in the table
b) Find the probability that the person prefers peanut butter cups, given they are a girl.
a) 19 18 37
26 17 43
45 35 80
b) 17/43 = 40%
200
One car rental company currently has 5 red cars and 3 yellow cars. Another dealership has 8 red cars and 5 yellow cars. If you rent a car at the first dealership and your friend rents at the other dealership, what is the probability that you both rent red cars?
5/13 = 38%
300
How many different initials for names (3 Letters) are there? How many different initials are there if you can't repeat letters?
17,576 and 15,600
300
Based on the data in the table, what is the conditional probability that a person will order a soda when he orders a pizza?
60/91 = 66%
300
Marla Jane is a coffee addict. Every morning she has two cups of coffee. She has 12 different coffee's to chose from and 3 are her favorites. She never drinks the same type of coffee twice in a row.
a) What is the probability that the first cup is one of her favorites and the second cup is not her one of her favorites.
b) What is the probability that both cups are not one of her favorites.
a) 9/44 = 20%
b) 6/11 = 55%
400
How many different sequences of letters can be formed using all the letters in the word INSANITY?
10,080
400
A jar of marbles contains 4 blue, 10 red, and 8 orange marbles. Three marbles are drawn at random in two ways. Fraction or nearest tenth of a percent.
a) What is the probability of selecting a blue, a red, and then an orange marble with replacement?
b) What is the probability of selecting a blue, a red, and then an orange marble without replacement?
a) 40/1331 = 3%
b) 8/231 = 3.5%