Probability Intro
State whether the event is impossible, unlikely, as likely as not, likely, or certain: rolling 2 number cubes and getting a sum of 2
unlikely
Carl is conducting a servey for the school paper. He finds that 7 students have no pets, 15 students have one pet, and 9 students have at least one pet. What is the experimental probability that the next student Carl asks will not have a pet?
(7/31)
Shelly and Anthony are playing a game using a number cube and a nickle. Each player rolls the number cube and flips the coin. What are all the possible outcomes during one turn? How many outcomes are in the sample space?
H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6 12 total outcomes in the sample space
A spinner with 10 equal sectors numbered 1 through 10 is spun. Find the probability of spinning a 5.
(1/10), 0.1, 10%
Maria is either having a girl or a boy. What is a simulation she could use to predict?
Flipping a coin...etc.
State whether the event is impossible, unlikely, as likely as not, likely, or certain: guessing the answer to a true/false question correctly
as likely as not
During her ride home from school, Dana sees 15 carrs driven by men and 34 cars driven by women. What is the experimental probability that the next car Dana sees will be driven by a man?
(15/49)
A yogurt shop offers 4 different flavors of yogurt and 3 different fruit toppings. How many different desserts are possible if you can choose one flavor of yogurt and one topping?
There are 12 different desserts to choose from.
A spinner with 10 equal sectors numbered 1 through 10 is spun. Find the probability of spinning a prime number.
(2/5), 0.4, 40%
Darian made 8 of the 12 free throws he attempted. He wants to simulate how many free throws he will make in the next 22 games. Darian makes a spinner with 3 equal sections, where 2 represent the shots made and 1 represents the shots missed. Explain why this will or will not work.
This will work because 8/12 times he makes it, which simplifies to 2/3. So, 2 of the sections represent the shots he makes, and 1 represents the shot he missed. He will spin it 22 times.
State whether the event is impossible, unlikely, as likely as not, likely, or certain: drawing a black marble from a bag containing 2 blue, 3 yellow, and 4 white marbles
impossible
In a soccer shoot-out, Bryan made 4 out of 9 goals. What is the experimental probability that he will make the next shot?
(4/9)
What are the possible outcomes or answering a three question true-false test? How many outcomes are in the sample space?
TTT, TTF, TFT, TFF, FTT, FTF, FFT, FFF There are 8 possible outcomes.
You have 11 cards, each with one of the letters from the word 'mathematics'. What is the probability of drawing an 'm' from the pile of shuffled cards? Write your answer is a fraction, decimal and percent.
(2/11), 0.18, 18%
Judy did not study for her math test. It has 10 True-False questions. She makes a spinner with 10 equal sections, with 1 labeled "T" and the 1 labeled "F". She leaves the other sections blank. Explain whether this simulation works or does not work.
This simulation does not work because she has a 50/50 chance of getting the question right. So, she could flip a coin 10 times, etc.
The probability of Andy's soccer team winnng the next game is (7/10). What is the probability of Andy's team not winning the next game?
(3/10)
It has rained on the last 2 out of 7 Fourth of July parades in Washington, DC. How many times would you expect it rain on the Fourth of July over 35 years?
Lydia tosses a fair coin 4 times. How many outcomes are in the sample space?
16 possible outcomes
A package of mixed lettuce seeds contains 150 green lettuce seeds and 50 red lettuce seeds. What is the probability that a randomly selected seed will be a red lettuce seed? Write your answer as a percent.
25%
In planning for her birthday, Keilah is trying to predict which kind of ice cream each of her 10 friends will choose. Her friends can choose from chocolate, vanilla, strawberry, or cookies-n-cream ice creams. Which of the following could Keliah use to make her prediction of which kind of ice cream her 10 friends will choose? Select all that apply.
a) Roll a six-sided die 10 times.
b) Flip four coins 10 times.
c) Spin a spinner with four equal different colored sections 10 times.
d) Draw either a heart, a diamond, a spade or a club from a deck of cards 10 times, with replacement.
C or D
A bag contains 3 green marbles, 7 blue marbles, and 2 black marbles What is the probability of not picking a green marble?
(3/4)
Claudia finds that the experimental probability of her cat waking her between 5:00 A.M. and 6:00 A.M is 8 times over 11 days. She expects that over the next month (30 days), her cat will wake up between 5 and 6 AM about 22 times. Is this possible? How do you know?
Yes, because according to her experimental probability, the cat should wake up that early 22 times. By setting up a proportion, you can find this.
What are the possible outcomes of choosing a pair of co-captains from the following athletes: Anna, Ben, Carol, Dan, Ed, Fran? How many possible outcomes are in the sample space?
AB, AC, AD, AE, AF, BC, BD, BE, BF, CD, CE, CF, DE, DF, EF There are 15 possible outcomes.
Eight students will give reports on novels, 9 will report on biographies, and 7 will report on history books. What is the probability that the first report will be a novel?
(1/3), 0.33, 33%
Dora is buying one flavor of frozen yogurt. She can choose from two sizes, small and large, and four flavors: berry swirl, vanilla, peach and lime. Describe a simulation she could use.
She can use a coin and a spinner...etc