Download presentation

Presentation is loading. Please wait.

Published byKaren Haynes Modified over 2 years ago

1
Probability results

2
Experiment #1a: Tossing One Die Toss one die 30 times, record TOSSING 1 DIEP(1)P(3)P(5) P(even number) Sample Empirical ResultsUse P(E)= n(E) / total tosses 5/30 =.176/30 =.24/30 =.1315/30 =.5 Your Empirical Results Class Empirical Results Theoretical Results Use P(E)= n(E) / n(S) where S=SampleSpace 1/6 =.167 3/6 = 1/2

3
Law of large numbers Last 2 rows (experimental and theoretical) should be similar

4
Experiment #1b: Tossing Two Dice Consider the following game: When tossing two dice, anyone on Team A wins a point each time the sum of the dice comes up as a 6, 7, 8, or 9. Anyone on Team B wins anytime a sum different from 6,7,8, or 9 appears. Which team would you think had a better chance of winning -- Team A or Team B? Try the experiment by tossing the pair of dice 20 times and recording your results. Record the empirical probability that:

5
Expt 1b TOSSING 2 DICEP(Team A- 6, 7, 8, 9)P(Team B-all others) Which do you think will win and why? Sample Empirical Results Use P(E)= n(E) / total tosses 12/20 =.68/20 =.4 Your Empirical Results Class Empirical Results Theoretical ResultsUse P(E)= n(E) / n(S)

6
Experiment #1c: Tossing One Coin When flipping a coin, how likely is a head? Try 10 times. TOSSING 1 COINP(head) how often do you expect to toss a head? Sample Empirical Results Use P(E)= n(E) / total tosses 6/10 = 0.6 Your Empirical Results Class Empirical Results Theoretical ResultsUse P(E)= n(E) / n(S)

7
Experiment #1d: Tossing Two coins If flipping 2, predict. Do 20 times TOSSING 2 COINSP(2 heads, 0 tails)P(1 head, 1 tail)P(0 heads, 2 tails) Guess: how often would you expect each possibility? Sample Empirical Results Use P(E)= n(E) / total tosses 8/30 =.2714/30 =.478/30 =.27 Your Empirical Results Class Empirical Results Theoretical Results Use P(E)= n(E) / n(S)

8
Experiment #1e: Tossing Three Coins: Do 20 times TOSSING 3 COINS P(3 heads) P(2 heads)P(1 head)P(0 heads) Guess: how often would you expect each? Sample Empirical Results Use P(E)= n(E) / total tosses 3/20=.15 7/20 =.356/20 =.34/20 =.2 Your Empirical Results Class Empirical Results Theoretical Results Use P(E)= n(E) / n(S)

Similar presentations

Presentation is loading. Please wait....

OK

Directed Investigation Dice Differences Your Name.

Directed Investigation Dice Differences Your Name.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on ozone depletion in australia Ppt on historical places in pune Free ppt on mobile number portability act Ppt on natural numbers examples Ppt on balanced diet and nutrition Ppt on data collection methods for research Ppt on power line carrier communication ppt Water level indicator using 7 segment display ppt online Solving equations ppt one step Ppt on x.509 authentication service