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The multiplication rules for probability
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Two events A and B, and they are independent events. That means, in fact, that A occurs does not affect the probability of B occurring
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That means, if A occurs, that will not affect the occurring of B event
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So, when two events are independent, the probability of both occurring can be written in this way
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that is probability of event A and event B is equal to probability of A into probability of B
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And that is the multiplication rule for probability. So, let us take one example for the understanding
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So, example of a of tossing a coin. So, a coin is flipped and a dye is rolled
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So, I am not finding any dependence between them. And find the probability of getting a head on the coin and four on the die
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So, in that case, we are having this solution. So, probability of occurrence of head and occurrence of four can be written in this way
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That is a probability of head into probability of four. So, is equal to 1 by 2 because in case of coin tossing we're having two outcomes, head
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and tail. So 1 by 2 into 1 by 6 and that is our 1 by 12
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So note that the same, the sample space for the coin is head and tail
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And for the die, it is 1, 2, 3, 4, 5, 6
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So, in this way, in this particular example, we have discussed that how the multiplication
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rules for probability can be applied. Thanks for watching this video
