Survey

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Document related concepts

Transcript

226 PROBABILITY (Chapter 10) D SAMPLE SPACES A sample space is the set of all possible outcomes of an experiment. Â² Â² Â² Â² We can display sample spaces by: listing sets of possible outcomes using 2-dimensional grids using tree diagrams (see Chapter 20) using Venn diagrams. Example 3 List a b c Self Tutor the sample space for: choosing a random number between 1 and 9 the possible results when A plays B in two sets of tennis the results when tossing a 10 cent coin, a 20 cent coin and a 5 cent coin simultaneously. a S = f2, 3, 4, 5, 6, 7, 8g b S = fAA, AB, BA, BBg where AB means âA wins the first set and B wins the second set.â c S = fHHH, HHT, HTH, THH, HTT, THT, TTH, TTTg where HHT means âa head with the 10 cent coin, a head with the 20 cent coin, and a tail with the 5 cent coinâ. Example 4 Self Tutor Use a 2-dimensional grid to illustrate the sample space for tossing two coins simultaneously. List the sample space in set notation. coin 2 T H H coin 1 T head tail The sample space is fHH, HT, TH, TTg where each member of the sample space is represented by one of the points on the grid. EXERCISE 10D cyan magenta yellow 95 100 50 75 25 0 5 95 100 50 75 25 0 5 95 100 50 75 25 0 5 95 100 50 75 25 0 5 1 List, in set notation, the sample space for: a tossing a coin b rolling a 6-sided die c the sexes of a 2-child family black Y:\HAESE\IB_MYP4\IB_MYP4_10\226IB_MYP4_10.CDR Tuesday, 11 March 2008 11:15:18 AM PETERDELL IB MYP_4