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Rus_ich [418]
3 years ago
11

If events A and B are independent, find P(A│B). A. P(A) B. 1 C. 0 D. P(A)/P(B)

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
6 0

Answer:

If events A and B are independent:

P(A|B) = P(A⋂B)/P(B) = (P(A) x P(B))/P(B) = P(A)

=> Option A is correct

Hope this helps!

:)

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Choose the solution(s) of the following system of equations x2 + y2 = 6 x2 – y = 6
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<h2>Answer</h2>

x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1

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<h2>Explanation</h2>

Lets solve our system of equations  step by step

x^2+y^2=6 equation (1)

x^2-y=6 equation (2)

1. Solve for x^2 in equation (2)

x^2-y=6

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2. Replace equation (3) in equation (1) and solve for y

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3. Replace the values of y in equation (3) and solve for x

- For y=0

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- For y=-1

x^2=6+y

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x^2=5

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So, the solutions of our system of equation are:

x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1

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