Download presentation

Presentation is loading. Please wait.

Published byTristan Benson Modified over 2 years ago

2
A way of showing the possibilities of two or more events Simple diagram we use to calculate the probabilities of two or more events

3
H H H T T T HH HT TH TT 2 nd 1 st Possible Outcomes

4
Attach probabilities H H H T T T HH HT TH TT 2 nd 1 st ½ ½ ½ ½ ½ ½ P(H,H)=½x½=¼ P(H,T)=½x½=¼ P(T,H)=½x½=¼ P(T,T)=½x½=¼ INDEPENDENT EVENTS – 1 st spin has no effect on the 2 nd spin

5
Calculate probabilities H H H T T T HH HT TH TT 2 nd 1 st ½ ½ ½ ½ ½ ½ P(H,H)=½x½=¼ P(H,T)=½x½=¼ P(T,H)=½x½=¼ P(T,T)=½x½=¼ Probability of at least one Head? * * *

6
For example – 10 coloured beads in a bag – 3 Red, 2 Blue, 5 Gold. One taken, colour noted, returned to bag, then a second taken. B RR 2 nd 1 st B B B R R R R G G G G RBRB RGRG BRBR BB BGBG GRGR GBGB GG INDEPENDENT EVENTS

7
B RR 2 nd 1 st B B B R R R R G G G G RBRB RGRG BRBR BB BGBG GRGR GBGB GG 0.3 0.2 0.5 0.2 0.3 0.5 0.2 0.3 0.5 0.2 0.3 Probabilities P(RR) = 0.3x0.3 = 0.09 P(RB) = 0.3x0.2 = 0.06 P(RG) = 0.3x0.5 = 0.15 P(BR) = 0.2x0.3 = 0.06 P(BB) = 0.2x0.2 = 0.04 P(BG) = 0.2x0.5 = 0.10 P(GR) = 0.5x0.3 = 0.15 P(GB) = 0.5x0.2 = 0.10 P(GG) = 0.5x0.5 = 0.25 All ADD UP to 1.0

Similar presentations

OK

Copyright ©2011 Nelson Education Limited. Probability and Probability Distributions CHAPTER 4.

Copyright ©2011 Nelson Education Limited. Probability and Probability Distributions CHAPTER 4.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on different types of computer softwares logos Ppt on art of living Running message display ppt on tv Ppt on series and parallel circuits lab Ppt on physical and chemical changes for class 6 Ppt on landscape photography Animated ppt on magnetism video Ppt on natural numbers Ppt on first conditional games Ppt on obesity management strategies