The sample space (S) has four regions (1, 2, 3 and 4) and two events A and B. The sample space has 15 equally likely outcomes, of which 5 are in A and 6 are not in A or in B. If events A and B are independent, how many outcomes are in region 2?

A) 2

B) 6

C) 7

D) 8

Now if region 2 is 6, 7 or 8, as given in the other options, it therefore means that the total out in event A will be more than 5. So region 2 must be 2 in order to satisfy the event A.

Further more, considering the diagram, event B is bigger than event A. With this idea we can give the summary in diagram as follow:

Region 1 => 3 outcomes

Region 2 => 2 outcomes

Region 3 => 4 outcomes

Region 4 => 6 outcomes

Total => 15 outcomes

Now we can see that the total outcome correspond to the total outcome of 15 given in the question.

Therefore, region 2 has 2 outcome

The sample space (S) has four regions (1, 2, 3 and 4) and two events A and B. The sample space has 15 equally likely outcomes, of which 5 are in A and 6 are not in A or in B. If events A and B are independent, how many outcomes are in region 2?A) 2B) 6C) 7D) 8

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Otras preguntas

The sample space (S) has four regions (1, 2, 3 and 4) and two events A and B. The sample space has 15 equally likely outcomes, of which 5 are in A and 6 are not in A or in B. If events A and B are independent, how many outcomes are in region 2?

A) 2

B) 6

C) 7

D) 8