Why do we multiply the probabilities?

Science & Mathematics by Anonymous 2018-09-20 07:18:12

Social Science

Why do we multiply the probabilities?

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The diagram below shows the tree diagram obtained for the experiment of tossing a coin twice. If they asked for the probability of getting Heads (which is H) twice, then it is 1/2 * 1/2 = 1/4. But why do we multiply them? I understand that the probability for each outcome is 1/2, and that the sum of all the...