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12345 [234]
3 years ago
12

Two events A and B are independent with Upper P left-parenthesis Upper A right-parenthesis equals Upper P left-parenthesis Upper

B right-parenthesis equals 0.5. Then Upper P left-parenthesis Upper A intersection Upper B right-parenthesis is____________.
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
3 0

Answer:

The value of P (A ∩ B) is 0.25.

Step-by-step explanation:

Independent events are those events that do not effect the occurrence of each other, i.e. if event <em>X </em>and <em>Y</em> are independent then the occurrence of <em>X</em> and <em>Y </em>are not influenced by each other.

For independent events <em>X</em> and <em>Y</em> the joint probability of <em>X</em> and <em>Y</em> is:

P (X\cap Y)=P(X)\times P(Y)

It is provided that events <em>A</em> and <em>B </em>are independent of each other.

And P (A) = P (B) = 0.50.

Compute the value of P (A ∩ B) as follows:

P (A\cap B)=P(A)\times P(B) \\= 0.50\times0.50\\=0.25

Thus, the value of P (A ∩ B) is 0.25.

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