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ankoles [38]
3 years ago
9

Determine if events A and B are independent.

Mathematics
1 answer:
trapecia [35]3 years ago
6 0

Answer:

B) Independent

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

P(A \cap B) = P(A) \times P(B)

In this question:

P(A \cap B) = \frac{63}{200}

P(A) \times P(B) = \frac{9}{20}*\frac{7}{10} = \frac{9*7}{20*10} = \frac{63}{200}

Since P(A \cap B) = P(A) \times P(B), these events are independent.

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I'll assume the usual definition of set difference, X-A=\{x\in X,x\not\in A\}.

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Proof of one direction for example:

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