1) Date: 1/9/2019 2) Title: WDYE 2.2 Marbles Math CC7/8 – Be Prepared Unit: What Do You Expect? On Desk: Journal: 1) Date: 1/9/2019 2) Title: WDYE 2.2 Marbles 4) Sign off neighbor's HW from Tues. Warm Up: Complete the Learning Check for after lesson 2.1 (On your own)-10 min When finished, take out a correcting pen Turn In: MSA Test with signatures-Due Friday In Your Planner: HW: WDYE p. 36, #4-7 MSA Retake-Thurs. Jan. 24

Tasks for Today Lesson 2.2-Marbles Begin HW?

Using your own words, explain the difference between theoretical and experimental probability. Write your explanation in your journals.

Rolling a Number Cube P(1 or 6) = P(1) + P(6) = 1/6 + 1/6 = 2/6 or 1/3 What is the probability that 1 “or” 6 will occur when you roll a 6-sided number cube? P(1 or 6) = P(1) + P(6) = 1/6 + 1/6 = 2/6 or 1/3 “and”

P(>3 and even) = P(4 or 6) = P(4) + P(6) = 1/6 + 1/6 = 2/6 or 1/3 What is the probability that the number is greater than 3 “and” even? (Must be both) P(>3 and even) = P(4 or 6) = P(4) + P(6) = 1/6 + 1/6 = 2/6 or 1/3

P(not even) = P(1 or 3 or 5) = 1/6 + 1/6 + 1/6 = 3/6 or ½ What is the probability of rolling a number that is “not” even? P(not even) = P(1 or 3 or 5) = 1/6 + 1/6 + 1/6 = 3/6 or ½ P(not even) = 1 – P(even) = 1 – 3/6 = ½ *Complement*

Review P(A or B) = P(not A) = P(A and B) = P(A) + P(B) 1 – P(A)

The probability the marble is yellow? 1. What is… The probability the marble is yellow? The probability the marble is blue? The probability the marble is red? 2. What is the sum of the probabilities? P(Y) + P(B) + P(R) = 2/12 + 4/12 + 6/12 = 12/12 = 1 P(Y) = 2/12 P(B) = 4/12 P(R) = 6/12

3. What color is the selected marble most likely to be? Most likely Red because there are more red marbles. What is… 4. The probability the marble is not blue? P( not B) = 1 – P(B) = 1 – (4/12) = 8/12 5. The probability the marble is either red or yellow? P(R or Y) = P(R) + P(Y) = 6/12 + 2/12 = 8/12 6. The probability the marble is white? P(W) = 0/12 = 0! Impossible!

Adsila is correct. In general, the number of favorable events can never be greater than the total number of events, so a probability can never be greater than 1 (but it can equal 1).

No, the probabilities do not change No, the probabilities do not change! Each color doubles, and the total doubles. P(Y) = 2/12 = 4/24 P(B) = 4/12 = 8/24 P(R) = 6/12 = 12/24 +1 P(B) = 8 24 9 25 = ? = +1

6 marbles is the smallest number that gives a 1/6 probability. P (Blue) = 1 – P (Red + White) = 1 – (1/6 + 1/3) = 1 – (3/6) = 1/2 6 marbles is the smallest number that gives a 1/6 probability. 2 red, 1 white and 3 blue marbles

Yes, the bag could contain 48 marbles. 16 red, 8 white, and 24 blue 12 blue marbles. Blue will equal red plus white.

There is no difference in probabilities if you use marbles or blocks as long as each marble or block is the same size and shape! The more trials you conduct, the closer the experimental probability gets to the theoretical probability.