Unit 6: Probability Summative Assessment. 2. The probability of a given event can be represented as a ratio between what two numbers?

Transcription

1 Math 7 Unit 6: Probability Summative Assessment Name Date Knowledge and Understanding 1. Explain the difference between theoretical and experimental probability. 2. The probability of a given event can be represented as a ratio between what two numbers? 3. Fill in the blank: As the number of trials gets, the experimental probability of an event approaches the theoretical probability of the event. Proficiency of Skills 4. A bag of marbles contains 7 red, 12 orange, 3 blue, and 6 multi-colored marbles. What is the probability of randomly selecting a marble that is not orange? 5. If 6 out of 10 people prefer peanut butter over apple butter, how many people out of 160 people would you predict would prefer peanut butter? 6. Using the spinner below, what is P(spinning a number less than 6)? 7. If you flip a penny 20 times, about what percent of the tosses would you expect to land head-side up?

2 8. Draw a tree diagram to show the possible outcomes of spinning the spinner below and then flipping a coin. A D B C 9. If you spin the spinner shown, what is P(blue or yellow)? Blue Red Yellow Application 10. Three cards numbered 3, 6, and 9 are placed in a paper bag labeled A. Three cards numbered 4, 7, and 9 are placed in a paper bag labeled B. A card is randomly drawn from each bag. What is the probability that both cards drawn are odd numbers? 11. Jan s teacher has a bag containing grape, strawberry, sour apple, blueberry, and watermelon flavored candies. Each of the 25 students in the class is asked to reach in the bag and choose a candy. The candy flavor is recorded and the candy is replaced in the bag before the next draw. The results are shown below. Flavor Number of Draws Grape 5 Strawberry 9 Sour Apple 3 Blueberry 2 Watermelon 6 Based on these results, what is the best prediction of the number of Sour Apple and Grape flavored candies in the bag if it contains 75 candies?

3 12. In a bag of M&M s the distribution of colors is shown in the table below. Color Distribution Red 0.24 Yellow 10% Green 11% Blue 0.18 Orange Brown If a color is selected at random, which color is most likely to be selected? You have a stack of 6 red pens, 14 blue pens, and 5 black pens. If you randomly select a pen and then replace it 200 times, how many times would you expect to select a black pen? 14. Tori flips a fair coin 3 times. What is the probability that it will land heads up all three times? 15. In the United States, 3 5 of all households have some type of pet and 1 3 of all household have at least one child. If a household is picked at random, what is the probability that it will have a pet and one or more children? 16. Julia has 4 pencils that are colored red, blue, yellow and orange in her book bag. Last week, of the 18 times that she reached for a pencil, she grabbed the yellow pencil 6 times. How does the experimental probability of choosing a yellow pencil compare to the theoretical probability? A. The experimental and theoretical probability is the same. B. The experimental probability is less than the theoretical probability. C. The experimental probability is greater than the theoretical probability. D. Neither the experimental nor theoretical probability can be determined.

4 17. Doug has 2 different pairs of colored pants, 3 different colored shirts, and 2 jackets. Which table shows all the possible unique combinations of a pair of pants, a shirt, and a jacket? A. C. Denim White Black Denim Blue Black Denim Striped Black Tan White Navy Tan Blue Navy Tan Striped Navy B. D. Denim White Black Tan Striped Navy 18. A bag of skittles contains green, orange, red, and yellow candies. 1 3 of the bag contains green and orange candies and 1 8 of the bag is red candies. What is the probability of picking out a yellow skittle from this bag? A. B. C. D A box of cereal contains one cartoon character toy and there are six different toys to collect. If you want to collect all the toys, which of the following simulations could help you estimate the number of boxes of cereal you would need to purchase in order to collect all six toys?

5 A. Create a tree diagram to show all of the different combinations. B. Label cards as A, B, C, D, E, and F. Draw a card, record the result, do not replace the card, and then draw another card. Repeat this process until all six cards have been drawn. C. Flip a coin six times and record the results. D. Roll a six-sided number cube until each number is rolled once. Performance Task 20. You roll a pair of fair six-sided dice. Are rolling a sum of 6 and rolling doubles equally likely events? Justify your answer.