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Statistics and probability

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Task 1:

This problem gives you the chance to: solve practical problems involving probability of simple events "TALENT SHOW" 1 . Mark gets ready to get dressed for school. When he opened his closet, he found that he has the following choices: a red, blue or white shirt; jeans or sweatpants; rubber shoes or school shoes. Draw a tree diagram to illustrate his choices. a. How many choices does he have for shirts? b. How many choices for pants are there? c. How many choices are there for shoes? d. How many branches are there in the tree diagram related to the number of choices that he can make ? e. Mark has 3 choices of shirts, 2 choices of pants, and 2 choices of shoes. What should you do with the tasks to get the answer easily and quickly? 2. Mark and his 3 friends agreed to join the School's talent show. They then decided how to pick the song that they will sing for the show. They decide to roll a number cube. The person with the lowest number chooses the song. If Mark's friends rolled a 6, 5 and 2. What is the probability that Mark will get to Show your work. choose the song ?Name: Grade & Section: 1. Multiple Choice: Read each item carefully. Write the letter of your choice on the answer sheet. 1. Which of the following is an experiment? A. Tossing a coin C. Choosing a marble from a jar B. Rolling a single 6-sided die D. All of the above 2. Which of the following is an outcome? A. Rolling a pair of dice C. Choosing marbles from a jar B. Landing on Red D. None of the above 3. What is the sample space for choosing an odd number from 1 to 11 at random? A. 1,2,3,4,5,6,7,8,9,10,11 C. 1,3,5,7,9,11 B. 2,4,6,8,10 D. 1,3,5,11 4. You have 3 blouses and 3 pairs of pants. How many different choices of outfits do you have? A . 3 B. 6 C. 9 D. 12 For items 5 and 6, refer to the table below. A coin was flipped a color wheel was sp Color Wheel RED ORANGE YELLOW GREEN Coin H {H, RED (H, ORANGE} (H, YELLOW} (H, GREEN} IT, RED {T, ORANGE} {T, YELLOW} IT, GREEN 5. How many outcomes are there in total? A. 4 B.8 C. 12 D. 16 6. How many outcomes contains head? A. 1 B. 2 C. 3 D. 4 7. How many ways can five different books be positioned on a book shelf? A. 120 B. 25 C. 15 D. 5 8. In a race 12 students were competing for the first, second and third prize. How many ways can the winners be selected? A. 120 B. 132 C. 1320 D. 1728 9. A standard deck of 52 cards is shuffled. What is the probability of choosing the 7 of hearts? A. 1/5 B. 1/13 C. 5/52 D. 1/52 10. A standard deck of 52 cards is shuffled. What is the probability of picking a red card? A. 1/5 B. 1/4 C. 1/3 D. 1/21. Multiple Choice: Read each item carefully. Write the letter of your choice on the answer sheet. 1. In tossing a coin and rolling a die, what is the probability of getting a tail and an even number? A. 2/12 B. 1/12 C. 1/4 D. 3/4 2. What is the probability of choosing a consonant letter from the word "MATHEMATICS"? A. 5/11 B. 7/11 C. 5/12 D. 7/12 3. A bag contains 12 MAXX candies, 7 Snow Bear Candies and 5 White Rabbit candies. What is the theoretical probability of getting a Snow Bear Candy? A. 5/24 B. 7/24 C. 1/2 D. 14 4. The coin is tossed 20 times with the results at the right. Using these Results results, what is the experimental probability of getting a tail? 11 17 HHHTTTTHTT A. 20 B. - 13 20 20 20 HHTTHTHHHH 5. A standard deck of 52 cards is shuffled. What is the probability of getting a face card? A. 1/13 B. 3/13 C. 1/2 D. 1/4 6. Matthew went to the carnival and played a game that had a bucket filled with balls numbered 1-10. He wins the game if he chooses a number that is even, what is the probability that he will win the game? A. 1/5 B. 1/4 C. 1/3 D. 1/2 7. Hannah was trying to guess the month of her brother's birthday? She knew that the month had less than five letters in its name. What is the probability that Hannah guesses the correct month? A. 1/6 B. 1/4 C. 5/12 D. 7/12 8. A glass jar contains 20 red, green , blue and yellow marbles. The probability of drawing a single green marble at random is 1/5. What does this mean? A. There are 5 green marbles in the glass jar B. There are 4 green marbles in the glass jar C. There are more green marbles than the others D. There is only one green marble in the glass jar 9. Ashley ran to the store to pick up some cereal. The store had 12 rows. Ashley randomly picked a row to start looking for cereal. What is the probability that she chose an odd-numbered row and greater than 4? A. 1/5 B. 1/4 C. 1/3 D. 1/2 10. Sarah were to visit her grandmother at random months. What is the probability that she will visit her grandmother on a month that has 31 days? A. 1/2 B. 1/4 C. 5/12 D. 7/12