Five-Minute Check (over Lesson 15– 3) Main Idea and Vocabulary Example 1: Use Tree Diagrams to List Outcomes Example 2: Find Probability
• I will list outcomes of a probability experiment. • tree diagram
Use Tree Diagrams to List Outcomes Four of the coasters at Wonderland Park are Tornado, Free Fall, Big Coaster, and Cyclone. Two of the water rides are Thunder Jet Racer and Shoot the Chute. Make a tree diagram to show all possible 2 -ride combinations if a person rides a coaster first and then a water ride. The roller coasters are Tornado, Free Fall, Big Coaster, and Cyclone. List the coasters. The water rides are Thunder Jet Racer and Shoot the Chute. For each coaster, list the water rides.
Use Tree Diagrams to List Outcomes Coasters Tornado Free Fall Big Coaster Cyclone Water Rides Outcomes Thunder Jet T, TJ Shoot the Chute T, SC Thunder Jet FF, TJ Shoot the Chute FF, SC Thunder Jet BC, TJ Shoot the Chute BC, SC Thunder Jet C, TJ Shoot the Chute C, SC
Use Tree Diagrams to List Outcomes Answer: There are 8 possible combinations. These are listed as outcomes on the tree diagram.
Ted tosses a coin and spins a spinner that has 4 colors: red, yellow, blue, and green. How many possible outcomes are there for Ted when he tosses a coin and spins the spinner? A. 2 B. 4 C. 8 D. 10 1. 2. 3. 4. A B C D
Find Probability A spinner has 3 sections of equal size and each section is a different color. Suppose you spin a spinner two times. What is the probability of spinning the same color?
Find Probability First Spin Second Spin Outcome Red Blue Green Red, Blue Red, Green Blue Red Blue Green Blue, Red Blue, Green Red Blue Green, Red Green, Blue Green, Green favorable outcome
Find Probability P(same color) = number of favorable outcomes number of possible outcomes 3 = 9 = 1 3 number of favorable outcomes total number of outcomes Simplify. Answer: So, the probability of spinning the same 1 color is 3.
A spinner has 3 sections of equal size. The colors of those sections are green, red, and blue. Suppose you spin the spinner two times. What is the probability of spinning red and then green? A. 1 7 1 B. 8 3 C. 8 1 D. 9 1. 2. 3. 4. A B C D
End of the Lesson
Five-Minute Check (over Lesson 15– 3) Image Bank Math Tool Chest Make a Prediction
(over Lesson 15– 3) Solve by making an organized list. A bagel shop is having a buy one, get one free special. They have cranberry, blueberry, strawberry, raisin, and pizza bagels. What are all the possible two bagel combinations that you can buy on special? A. cc, cb, cs, cr, cp, bb, bs, br, bz, ss, sr, sp, rr, rp, pp B. cc, cs, cr, cp, bb, bs, br, bz, ss, sr, sp, rr, C. cc, cb, cs, cr, cp, bb, bs, br, bz D. cc, cb, cs, cr, bb, bs, br, sp, rr, rp, pp 1. 2. 3. 4. A B C D