STAB22H3 Lecture 6: stab22_Lecture6.pdf
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STAB22H3 Full Course Notes
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Example: when you toss a coin, there are only two possible outcomes, heads and tails. Figure below shows the results of tossing a coin 5000 times twice. For each number of tosses from 1 to 5000, we have plotted the proportion of those tosses that gave a head. Trial a (solid line) begins tail, head, tail, tail. Trial b starts with five straight heads, so the proportion of heads is 1 until the sixth toss. Caution: probability describes only what happens in the long run (so probability of a head is 0. 5). Definition: we call a phenomenon random if individual outcomes are uncertain but there is nonetheless a regular distribution of outcomes in a large number of repetitions. The probability of any outcome of a random phenomenon is the proportion of times the outcome would occur in a very long series of repetitions. The french naturalist count buffon (1707-1788) tossed a coin.
