Mathematics: PROBABILITY - Apply the product rule to calculate the probability of independent events.
The two events are said to be independent if the occurrence of one does not affect the occurrence of the other.
Well I'm here to make it easier!
If A and B are two independent events, then the probability of occurrence of both A and B is:
Yes, there is always something like this to make it look extra tricky, I get it, but after looking at the example, you'll be able to see how easy it really is.
A and B are two independent events since the event that it rains in Houston does not affect the event that it rains in Paris. So, the probability that it rains in both cities that day is:
Therefore, the probability that it rains in both cities that day is 0.24
How about this one?
Let A be the event that the spinner stops at a red sector and B be the event that the number cube lands with its face up showing the number 4.
The two events are independent since event A does not affect event B, so the probability for both the spinner to stop at a red sector and the number cube to land with its face up showing the number 4, is equal to:
Therefore:
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