Download presentation

Presentation is loading. Please wait.

Published byRobin Clatterbuck Modified over 2 years ago

1
Probability & Tree Diagrams

3
For example – a fair coin is spun twice 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 Green. 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

8
Choose a meal Main course Salad 0.2 Egg & Chips 0.5 Pizza 0.3 Pudding Ice Cream 0.45 Apple Pie 0.55 S E P IC AP IC AP IC AP 0.2 0.5 0.3 0.45 0.55 0.45 0.55 0.45 0.55 P(S,IC) = 0.2 x 0.45 = 0.09 P(S,AP) = 0.2 x 0.55 = 0.110 P(E,IC) = 0.5 x 0.45 = 0.225 P(E,AP) = 0.5 x 0.55 = 0.275 P(P,IC) = 0.3 x 0.45 = 0.135 P(P,AP) = 0.3 x 0.55 = 0.165

Similar presentations

OK

DO NOW 4/27/2016 Find the theoretical probability of each outcome. 1. rolling a 6 on a number cube. 2. rolling an odd number on a number cube. 3. flipping.

DO NOW 4/27/2016 Find the theoretical probability of each outcome. 1. rolling a 6 on a number cube. 2. rolling an odd number on a number cube. 3. flipping.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on bond length and energy Ppt on employee branding Ppt on phonetic transcription to english Ppt on brand marketing companies Ppt on physical properties of metals and nonmetals Projector view ppt on ipad Ppt on introduction to bluetooth technology Ppt on time management Ppt on set top box Ppt on series and parallel combination of resistors in parallel