📚 How to calculate probabilities of *independent* events


📚 How to calculate probabilities of *independent* events



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Two events are said to be independent if the occurrence of either of them has no effect on the probability of the other.

If A and B are independent events, then P(A and B)= P(A)⋅P(B).
Q1. It is equally probable that the pointer on a spinner will land on any one of eight regions, numbered 1 through 8. If the pointer lands on a borderline, spin again. Find the probability that the pointer will stop on a number less than 3 on two consecutive spins.
Q2. Find the probability of having five baby boys in a row.
Q3. If the probability that South Florida will be hit by a hurricane in any single year is 5/19:
a. What is the probability that South Florida will be hit by a
hurricane in three consecutive years?
b. What is the probability that South Florida will not be hit by a
hurricane in the next ten years?

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