1. Warm-Up Pg. 361 # 2, 3, 4b

2. Unit 2 Theoretical Probability of Multiple Events Learning Goal: I can determine the theoretical probability of an and represent the probability as a fraction, a percent, and as a decimal

3. Blackjack & Card Counting Blackjack: Get “hits” from the dealer to attempt to have cards total 21 without going over Hi-Low Strategy: Card2, 3, 4, 5, 67, 8, 910, J, Q, K, A Value+10

4. Recall: Theoretical Probability is the likelihood of an event occurring based on all possible outcomes (assuming all outcomes are equally likely) Written as: P(event) = # of favorable outcomes total # of possible outcomes

5. Example 1 You toss a quarter in the air 3 times. Use a tree diagram to show all of the possible outcomes. a)What is the probability of getting 3 tails? b)What is the probability of getting 2 heads and 1 tail?

6. Example 2 In the casino game “craps” 2 dice are thrown at a time and it is advantageous to roll 7’s and 11’s. Construct a chart of sums to answer the following questions: a)What is the probability of rolling a 7? b)What is the probability of rolling an 11? c)What is the probability of rolling a 7 OR 11?

7. Example 3 Given a standard deck of cards and a six-sided dice, what is the probability of: a)Rolling a 4 AND drawing a king from the deck? b) Rolling a 4 OR drawing a king from the deck?

8. Example 4 A jar contains 3 red marbles, 7 green marbles and 10 white marbles. If a marble is drawn from the jar at random: a)What is the probability of picking a white marble? b)What is the probability of picking a white marble and then a green marble (without putting the first one back) c)What is the probability of picking all three red marbles in a row without putting any back?

9. Homework Practice Handout