1. Probability Quizzes and Games Week of April 4-8, 2011 7.14.1: Relate theoretical probability to experimental results

2. Day 1 Warm-Up: Integer Add/Subtract C Collect HW Practice Quiz Correct Practice Quiz Real Quiz Constructed Response on 7.14.1: Relate theoretical probability to experimental results

3. Probability HW cube numbered 1-6 and a coin1. Tyler is performing an experiment using a number cube numbered 1-6 and a coin. He tosses the number cube and flips the coin and records the result. If he performs 60 trials of the experiment, how many times should he expect to toss a number greater than 4 and also have the coin land on heads? Hint: ALWAYS create sample space first. Use it to create first part of proportion. H1 H2 H3 H4 H5 H6 2 = x x=10 times T1 T2 T3 T4 T5 T6 12 60 2. Sanjay is playing a game using a number cube labeled 1 through 6. He rolls the cube 24 times. What is the best prediction for the number of times Sanjay should expect to roll a number greater than 4? Sample Space: 1 2 3 4 5 6 2 = x Proportion: 6 24 x = 8 times 3. Kyle is performing an experiment using a number cube numbered 1-6 and this spinner. He tosses the number cube and spins the spinner. If he performs 120 trials of the experiment, how many times should he expect to toss a number less than 4 and also have the spinner land on purple? Hint: Finish sample space here:Proportion: P1 P2 P3 P4 P5 P6 3 = x R1 R2 R3 R4 R5 R6 24 120 x=15 G1 G2 G3 G4 G5 G6 B1 B2 B3 B4 B5 B6

4. HW Continued 4. Jeremy has a box of colored pushpins. Each pushpin is one of 5 colors: red, blue, green, yellow, and purple. There is an equal number of each color in the box. Jeremy randomly selects a pushpin from the box, records its color, and places it back in the box. Jeremy repeats this experiment 40 times. What is the best prediction for the number of red pushpins Jeremy should expect to get? Sample Space: Proportion: r y g b p 1 = x 5 40 x = 8times 5. Ethan performs an experiment using a coin and this spinner. He tosses the coin and spins the spinner. If he performs 70 trials of the experiment, how many times should he expect to toss a head and also have the spinner land on red? Sample Space: gh gh rh bh bh 1 = x x=7 gt gt rt bt bt 10 70 times

5. Homework Continued… 6. Carrie is playing a game using a number cube with sides labeled 1 through 6. She rolls the cube 36 times. What is the best prediction for the number of times Carrie should expect to roll a number less than 3? Sample Space: 1 2 3 4 5 6 2 = x 6 36 x= 12 times 7. Ian is performing an experiment using two number cubes, each numbered 1-6. He rolls the two number cubes and records the results. If he performs 60 trials of the experiment, how many times should he expect to roll an even number on both cubes at the same time? 1-1 1-2 1-3 1-4 1-5 1-6 2-1 2-2 2-3 2-4 2-5 2-6 9 = x 3-1 3-2 3-3 3-4 3-5 3-6 36 60 60 x 9 = 540 / 36 = 15 times 4-1 4-2 4-3 4-4 4-5 4-6 5-1 5-2 5-3 5-4 5-5 5-6 6-1 6-2 6-3 6-4 6-5 6-6

6. Practice Quiz *Express probability as a fraction, a decimal, and a percent. Do not round. Suppose you roll a die and toss a coin. List all of the possible outcomes: What is the theoretical probability of getting tails and a prime number? Kimberly tested the theoretical probability. She rolled a die and tossed a coin 8 times. Her results are shown below: What is Kimberly’s experimental probability for getting tails and a prime number? How many times would you have expected Kimberly to get tails and a prime number? Why? H1 H2 H3 H4 H5 H6 T1 T2 T3 T4 T5 T6 T2, T3, T5 = 3/12 = 0.25 = 25% Got it only once: T2 =1/8 trials = 0.125 = 12.5% Use proportion. 1 st ratio is from sample space. 3 = x 12 8 attempts We expected her to get it 2 times (cross multiply and divide by 3 rd side)

7. Quiz Time! Put up dividers (no peaking at other’s work) Open note! Hope you all get an A!!!! Good Luck!

8. Constructed Response 7.14.1 Keep dividers up and start your CR Finish for Homework if you did not turn into class. Clean up: Have a great day!

9. Day 2: Let the games begin!