STAT 213 Lecture Notes - Lecture 18: Probability Theory, Sample Space, Randomness

• School: University of Calgary
• Department: Statistics
• Course: STAT 213
• Professor: Anatoliy Swishchuk

Document Summary

A regular pattern in the results is clear after many repetitions. Probability describes only what happens in the long run. When you toss a coin, there are only two possible outcomes, heads and tails. Figure 4. 1 shows you the results of tossing a coin 5000 times twice. In the very long run, the proportion of tosses that give a head is 0. 5. Probability 0. 5 means occurs half the time in a very large number of trials. Probability applet available on our web page animates figure 4. 1. That is, it is based on observation rather than theorizing. Probability describes what happens in very many trials. Count bu on (1707-1788): tossed a coin 4040 times. Karl pearson (around 1900): tossed a coin 24, 000 times. Result: 12, 012 heads, a proportion of heads 0. 5005. John kerrich tossed a coin 10, 000 times.