The document discusses experimental probability through three experiments. The first experiment uses a six-sided die to calculate probabilities of throwing different numbers. The second experiment uses a standard 52-card deck to calculate probabilities of drawing certain cards. The third experiment calculates the probabilities of winning different tennis shoe styles in a giveaway where there are 5 pairs of style A, 8 pairs of style B, and 7 pairs of style C available.

1. EXPERIMENTAL PROBABILITY

2. Definition Probability The measure of the likelihood/chance that an event will happen. It is the ratio of the number of favorable outcomes to the number of possible outcomes. 06/04/09 PH 01-07 Bitsy Griffin

3. Formula P (event) = number of favorable outcomes number of possible outcomes 06/04/09 PH 01-07 Bitsy Griffin

4. Experiment 1 You have a six-sided die What are the number of possible outcomes? (How many numbers are on the die?) 6 That’s the bottom number What is the probability that you will throw a 1? There is only 1 That’s the top number P(1)=1/6 06/04/09 PH 01-07 Bitsy Griffin

5. Experiment 1 What is the probability you will throw a 2? P(2)=1/6 What is the probability you will throw an even number? P(even)=3/6 Reduce it to: P(even)= 1/2 06/04/09 PH 01-07 Bitsy Griffin

6. Experiment 1 What is the probability you will throw a 2 or a 5? P(2or5)= 2/6 Reduce it to: P(2or5)= 1/3 06/04/09 PH 01-07 Bitsy Griffin

7. Experiment 2 You have a standard deck of cards What are the number of possible outcomes? 52 That’s the bottom number What is the probability that you will draw a black card? 26 P(black card)= 26/52 Reduce it: P(black card)= 1/2 06/04/09 PH 01-07 Bitsy Griffin

8. Experiment 2 What is the probability that you will draw a heart? P(heart)= 13/52 Reduce it: P(heart)= ¼ What is the probability that you will draw a 4? P(4)= 4/52 Reduce it: P(4)= 1/13 06/04/09 PH 01-07 Bitsy Griffin

9. Experiment 2 What is the probability that you will not draw a heart? 13(3)/52 => P(no heart)=39/52 Reduce it: P(no heart)= ¾ 06/04/09 PH 01-07 Bitsy Griffin

10. Experiment 3 Nike is having a tennis shoe giveaway. If you are the first person chosen to win one of the above pair of shoes, what is the probability of winning each type? P(A) = 5/20 = ? P(B) = 8/20 = ? P(C) = 7/20 = ? 06/04/09 PH 01-07 Bitsy Griffin A B C 5 8 7

11. Review Steps? HW – No Simulations – Only Probability