Question 1090739: For the given pair of events A and B, complete parts (a) and (b) below.
A: When a baby is born, it is a girl.
B: When a 12-sided die is rolled, the outcome is 1.
a. Determine whether events A and B are independent or dependent. (If two events are technically dependent but can be treated as if they are independent according to the 5% guideline, consider them to be independent.)
b. Find P(A and B), the probability that events A and B both occur.
a. Choose the correct answer below.
A.
The two events are dependent because the occurrence of one does not affect the probability of the occurrence of the other.
B.
The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other.
Your answer is correct.C.
The two events are independent because the 5% guideline indicates that they may be treated as independent.
D.
The two events are dependent because the occurrence of one affects the probability of the occurrence of the other.
b. The probability that events A and B both occur is?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! For the given pair of events A and B, complete parts (a) and (b) below.
A: When a baby is born, it is a girl.
B: When a 12-sided die is rolled, the outcome is 1.
a. Determine whether events A and B are independent or dependent. (If two events are technically dependent but can be treated as if they are independent according to the 5% guideline, consider them to be independent.)
Independent
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b. Find P(A and B), the probability that events A and B both occur.
a. Choose the correct answer below.
A.
The two events are dependent because the occurrence of one does not affect the probability of the occurrence of the other.
B.
The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other.
This answer is correct.
C.The two events are independent because the 5% guideline indicates that they may be treated as independent.
D.
The two events are dependent because the occurrence of one affects the probability of the occurrence of the other.
b. The probability that events A and B both occur is?
P (A and B) = P(A)*P(B)
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Cheers,
Stan H.
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