Probablity
Maria is flipping a coin and spinning a spinner. The spinner has 4 equal sections labeled A-D. What is the probability the coin will land on heads and the spinner will land on the letter "A"?
1/8 or 0.125, or 12.5%
A number cube is rolled 24 times and lands on 2 four times and on 6 three times. Find the Theoretical Probability for 2. Fine the Experimental Probability for 6.
T.P. P(2) = 1/6
E.P. P(6) = 1/8
You are trying to decide what to wear to school. You know you have a green pair of pants, a red pair, and a blue pair. You also have a brown shirt, a plaid shirt, and a yellow shirt. How many different outfit combinations can you make?
9
Define "theoretical probability."
It is the probability of what should happen.
An 8th grade student council member wants to know what students would like as their new school mascot. He randomly selects 40 students to ask. Is this a biased or unbiased sample? What type of sampling is this?
Unbiased; He RANDOMLY selected the students to ask. Simple Random Sample.
A store sells a box of highlighters that contains 4 yellow, 3 blue, 2 pink, and 1 green highlighter. What is the probability of randomly picking first 1 blue and then 1 pink highlighter from the box?
1/15, 7%
Angelina makes 70% of her free throws. What is the probability that she will make her next two free throws?
49/100, 49%
What is the number of possible outcomes for spinning one spinner with 8 equal sections and another spinner with 6 equal sections?
48 possible outcomes
Define "experimental probability."
The probability of what actually happened.
At a Math teacher convention, Sam surveys the teachers to find out their favorite subject in school. Is this a biased or unbiased sample?
Biased; Sam is asking ONLY Math teachers.
What is the probability of rolling two odd numbers in a row with a standard number cube?
1/4, or 0.25, or 25%
A letter tile is randomly selected from a bag, recorded, and replaced 100 times. The results are listed below. What is the experimental probability of selecting the letter "E"? A = 16 E = 11 I = 29 O = 19 U = 25
11/100 or 0.11, or 11%
Amiya and Keyshawn are candidates for class president of the 7th grade. Ajaye, Chishon, and Laura are candidates for vice president. How many winning combinations are possible?
6
Define Fundamental Counting Principle
Using multiplication to find the number of all possible outcomes.
A record store manager asks customers who make a purchase how many hours of music they listen to each day. Is this a biased or unbiased sample? What type of sampling is this?
Biased. Convenience Sampling.
There are 3 red marbles, 2 green marbles, and 1 yellow marble in a box. One marble is taken out and not replaces. A second marble is then taken out and not replaced. What is the probability both marbles that were taken out are red?
1/5, or 0.20, or 20%
Pedro recorded the types of birds that visit his bird feeder. Based on the results below, what is the probability the next bird will be a chickadee? Woodpecker = 3 Chickadee = 5 Cardinal = 1 Sparrow = 13 Blue Jay = 3
1/5, or 0.20, or 20%
Ms. French is packing for a trip. She packs a white blouse, a pink blouse, a blue blouse, and a green blouse. She also packs a black suit, a navy blue suit, and a gray suit. What is the probability that the first outfit she wears is the gray suit with a pink blouse?
1 out of 12.
1/12, 8%
Define "independent event."
Events where the outcome of the first event does not affect the outcome of the next event.
When one event occurs and the item is replaced before the second event occurs.
Jack asks the football team which sport is more difficult: basketball or football? Is this a biased or unbiased sample?
Biased; Jack only asked members of the football team and they will likely say that football is more difficult.
Jarvonya spins a spinner with 5 equal sections numbered 1-5 and she spins another spinner with 5 equal sections with the letters A-E. What is the probability she will spin a 4 and a B?
1/25 or 0.04, or 4%
A survey of high school students with jobs asked whether the students saved some of the money they earned. 82% of the students said they saved some money. Out of 340 students, predict how many would save some of their earnings.
What is the probability of rolling three 4's in a row on a number cube?
1/216
Define "dependent event."
Events where the outcome of the first even does affect the outcome of the second event.
When one event occurs and that item is not replaced before the second event occurs. Changes the next event's probability.
A survey showed that 55% of a travel company’s customers were planning an overseas vacation the following year. Predict how many of the travel company’s 12,400 travelers will vacation overseas the following year.
6,820 customers