please help and make sure all the answers and work is right

Question Description

1. Give an example of an independent event.

2. Give an example of a dependent event

3. What is the formula used to calculate the probability of an independent event?

4. What is the formula used to calculate the probability of  dependent event?

Final Answer

1. Landing on heads after tossing a coin AND rolling a 5 on a single 6-sided die

2. to get sum of 12 from one die thrown two times. both the time you need to get 6 to achieve sum as 12.

  or removing colored marbles from a bag. Each time you remove a marble the chances of drawing out a certain color will change.

3.When two events are independent, the probability of both occurring is the product of the probabilities of the individual events.If events A and B are independent, then the probability of both A and B occurring is:

P(A and B) = P(A) x P(B)

Probability of A or B : If Events A and B are independent, the probability that either Event A or Event B occurs is:

P(A or B) = P(A) + P(B) - P(A and B)

4. When two events, A and B, are dependent, the probability of both occurring is:

P(A and B)  =  P(A) · P(B|A)

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