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horrorfan [7]
3 years ago
13

Which statement is true about whether A and B are independent events? A and B are independent events because P(A∣B) = P(A) = 0.1

2. A and B are independent events because P(A∣B) = P(A) = 0.25. A and B are not independent events because P(A∣B) = 0.12 and P(A) = 0.25. A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25
Mathematics
2 answers:
Contact [7]3 years ago
7 0

Answer:The answer is D


Step-by-step explanation:


love history [14]3 years ago
5 0
The events A and B are independent if the  probability that event A occurs does not affect the probability that event B occurs.
A and B are independent if the equation P(A∩B) = P(A) P(B) holds true.
P(A∩B) is the probability that both event A and B occur.
Conditional probability is the probability of an event given that some other event first occurs.
P(B|A)=P(A∩B)/P(A)
In the case where events<span> A and B are </span>independent<span> the </span>conditional probability<span> of </span>event<span> B given </span>event<span> A is simply the </span>probability<span> of </span>event<span> B, that is P(B).</span>
Statement 1:A and B are independent events because P(A∣B) = P(A) = 0.12. This is true.
Statement 2:<span>A and B are independent events because P(A∣B) = P(A) = 0.25.
This is true.
 Statement 3:</span><span>A and B are not independent events because P(A∣B) = 0.12 and P(A) = 0.25. 
This is true.
Statement 4:</span><span>A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25
This is true.</span>
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