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Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.
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Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.
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Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.
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Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.
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Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
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Thomas looks up information about the weather. He finds out these 4 things. Probability of rain: 0.65 Probability of snow: 0.10 Probability of high winds: 0.30 Probability of wildfires: 0.05 Which has the highest probability?
What is A. Correct! B. Not quite. Note that this answer is 0.10 not 1.0. C. Sorry. This is still less than a 50% chance. There is a more likely event. D. Try again. This is the lowest probability.
100
Spinner with 4 spaces labeled (A, B, C, D) If you spin the spinner 100 times, about how many times would you expect the spinner to land on letter A? A. 4 B. 20 C. 25 D. 40
What is A. No. There are 4 equal sections. The likelihood of the spinner landing on A is 1 out of 4. Now relate this to 100 spins to make a prediction. B. Sorry, wrong answer. Relate the number of sections with letter A to the total number of sections. C. Correct! The probability that the spinner will land on A is 1/4. If you multiply this by 100 spins, you get 25. D. That's not it. The chances of spinning a A are 1 out of 4. Relate this probability to 100 spins. Correct Answer: C. 25
100
Simone has a bag of jellybeans. Five are red, 7 are yellow, 3 are black, 4 are green, 2 are purple, and 6 are orange. What is the probability of Simone randomly picking an orange jellybean from the bag? A. 1/9 B. 2/9 C. 1/3 D. 4/9
What is A. Choose another answer. Does the question ask for the probability of choosing a black jellybean? Read the question again. B. Excellent! This is the probability 6 out of 27 in simplest form. C. Wrong answer. If this answer were correct, 9 of the jellybeans would be orange. Look again. D. That is not correct. Read the problem again. Be sure you have found the correct number of total jellybeans and the correct number of orange jellybeans. Correct Answer: B. 2/9
100
Justin rolls a number cube 60 times. The number 6 comes up 12 times. What is the experimental probability of rolling a 6? A. 1/10 B. 1/5 C. 6/12 D. 4/5
What is A. No. How many times did he roll the cube? B. Correct! 12/60 = 1/5 C. Sorry. How many times did the cube come up 6? D. Wrong. This is the experimental probability of NOT rolling a 6. Correct Answer: B. 1/5
100
Robert rolls a cube which is numbered 1 through 6. If he rolls the cube 2 times, what is the likelihood that he will roll 2 even numbers? A. 1/6 B. 1/4 C. 1/2 D. 2/3
What is A. No. How many even numbers are on the cube? B. Super! You identified the correct probability. C. No. He will roll the cube twice. D. Sorry, wrong answer. How many even numbers are on the cube? Correct Answer: B. 1/4
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Which of the following represents the lowest probability? A. 0.05 B. 0.109 C. 0.782 D. 0.0092
What is A. Try again. This is small, but not small enough. B. Not quite. Other answers are less than 10%. C. Sorry. This represents the highest probability. D. Correct! Correct Answer: D. 0.0092
200
In a factory, 50 out of every 500 light bulbs made are defective. Out of the next 100 light bulbs made, how many can you expect to be defective? A. 5 B. 10 C. 50 D. 100
What is A. Try again. You can expect more defective light bulbs. B. Excellent! You can expect 10 defective light bulbs. C. That's not it. This would be true is 250 of the first 500 were defective. D. Sorry, wrong answer. It is unlikely that all 100 light bulbs would be defective. Correct Answer: B. 10
200
Jade put 3 green tiles, 7 red tiles, and 11 orange tiles in a box. If she closes her eyes and picks a tile, what is the probability that the tile will NOT be green? A. 1\7 B. 1\3 C. 11\21 D. 6\7
What is A. Give it another try. You found the probability of picking green, but you need to find the probability of not picking green. B. Wrong choice. You found the probability of picking red, but you need to find the probability of not picking green. Write a fraction that shows number of tiles that are not green\total number of tiles to help find the answer. C. No. You found the probability of picking orange, but you need to find the probability of not picking green. Write a fraction that shows number of tiles that are not green\total number of tiles to help find the answer. D. Super! There are 18 tiles that are not green and 21 total tiles, so the fraction is 18\21. This fraction reduces to 6\7. Correct Answer: D. 6\7
200
Herman designed a probability experiment. He placed 2 red balls, 4 white balls, and 6 green balls into a bag. After picking a ball at random 20 times and replacing it, he found that he got a red ball 3 times, a white ball 6 times, and a green ball 11 times. Determine the theoretical probability and the experimental probability of picking a red ball.
What is Theoretical probability 2/12 = 1/6 = 16.6% or 17% Experimental probability 3/20 = 15%
200
John will choose 2 marbles from a jar. He will not replace the first one before choosing the second. There are 7 red marbles, 5 white marbles, 4 green marbles, 8 black marbles, and 12 blue marbles. What is the probability that he will choose a green marble and then a blue marble? A. 4/105 B. 1/27 C. 1/9 D. 4/9
What is A. Good job! You calculated the probability correctly. B. Try again. He did not replace the first marble. C. No. This is the probability of choosing a green marble. D. Sorry, wrong answer. You shouldn't add to find the probability. Correct Answer: A. 4/105
300
S, N, E, T, E, S, E, N, E, S The letter cards above have been placed into a paper bag. Write as a fraction the probability of picking an N from the bag without looking.
What is 2/10 = 1/5
300
Kelly has bowled 35 strikes in her last 150 frames of bowling. If she bowls 500 frames this season, about how many strikes can she be expected to make? A. 100 B. 115 C. 135 D. 150
What is A. That's not it. Did you round the percentage of strikes to 20%? You should round to the nearest 1, not to the nearest 10. B. Correct! C. Incorrect. Try finding Kelly's percentage of strikes by dividing 35 by 150. D. Try again. Based on her previous games, you can assume that Kelly will get a strike approximately 23% of the time. Correct Answer: B. 115
300
Melanie flips 2 coins. How many possible outcomes are there each time she flips the coins? A. 1 B. 2 C. 3 D. 4
What is A. That's not it. Think of every way the coins could land. B. Try again. Each coin has 2 possible outcomes, but she is flipping 2 coins. C. Not this one. Be sure to include all possibilities. D. Great! The possible outcomes are HH, HT, TT, and TH. Correct Answer: D. 4
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Laura is going to spin a spinner numbered 1 through 5. If she spins it 3 times, what is the probability that she will spin a 3, then a 5, then a 3? A. 1/125 B. 3/125 C. 1/5 D. 3/5
What is A. Well done! You identified the correct probability. B. No. Double check your multiplication. C. Incorrect. This is the probability of each number with one spin. D. Try again. You need to multiply the probabilities for each of the 3 spins. Correct Answer: A. 1/125
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If Sophie draws 1 card from a standard deck, she has a 0.25 probability of drawing a spade. Which of the following is not more likely than this? A. 0.75 B. 0.30 C. 0.95 D. 0.05
What is A. Sorry. This is equal to 3 times 0.25. It is much more likely. B. Incorrect. The probability 0.30 is larger than 0.25, meaning it is more likely. C. Try again. This is almost 1, meaning it is far more likely. D. Correct! This is only a 5% chance. Correct Answer: D. 0.05
400
A carnival game has a board numbered 1 − 24. Players place chips on the numbers on the board, and a wheel numbered 1 − 24 is spun. If the player has a chip on the number that is spun, they win a prize. Jeremy places a chip on the numbers 10 and 20. What are the odds that he will win a prize? A. 1 out of 24 B. 1 out of 2 C. 1 out of 10 D. 1 out of 12
What is A. No. He put a chip on 2 different numbers. B. Try again. He did not put a chip on half the numbers. C. Incorrect. How many numbers are on the board and spinner? D. Great! You identified the correct relationship.
400
Which is an example of an independent probability? A. the probability of Mark rolling a 6 on a fair die and Dennis spinning a 1 on a spinner numbered 1 through 6 B. the probability of Kelly and Tim each choosing a straw out of a box without one replacing their straw before the other picks a straw C. the probability that 2 students are chosen to be in the school play out of a group of 24 students D. the probability that Jeffrey will choose 2 marbles of the same color from a bag without putting the first marble back before choosing the second marble
What is A. Well done! You identified the correct probability. B. No. This is a dependent event. C. Try again. This is a dependent event. D. Incorrect. This is a dependent event. Correct Answer: A. the probability of Mark rolling a 6 on a fair die and Dennis spinning a 1 on a spinner numbered 1 through 6
500
There are 30 straws in a cardboard carton. There are 16 long striped straws and 14 short plain straws. A short plain straw is pulled out of the carton first and is not replaced. Determine the probability that a long striped straw will be drawn from the carton next.
What is 14/30 (16/29) = 224/870 = 112/465
500
Frank is going to toss a pair of dice. He is going to find the sum of the dice. What is the probability that the sum of the dice will be 8? A. 1/12 B. 1/9 C. 5/36 D. 1/6
What is A. That's not it. Did you count all the possible ways the sum of the dice could be 8? B. No. You might not have counted all the possible ways the sum of the dice could be 8. C. Yes! D. Try again. You might have counted too many possible ways the sum of the dice could be 8. Correct Answer: C. 5/36
500
In a class of 28 children, 12 have blonde hair and 10 have brown hair. What is the probability of choosing a child without blonde or brown hair? A. 3/14 B. 4/7 C. 9/14 D. 11/14
What is A. Terrific! You calculated correctly. B. No. This is the probability of not choosing a child with blonde hair. C. Try again. This is the probability of not choosing a child with brown hair. D. That's not it. This is the probability of choosing a child with blonde or brown hair. Correct Answer: A. 3/14
500
A pizza shop sells small and large pizzas with one topping. The topping choices are cheese, mushrooms, or peppers. Draw a tree diagram to show all the possible combinations of pizza with one topping. How many possible pizzas with one topping are there? Explain in words how you got your answer and why you did the steps you did to solve the problem.
What is 6 possible one topping combinations. Two sizes of pizzas = two branches Each of those two branches has three branches representing the three topping choices