Question

Help plzzz!!Given P(A) = 0.78, P(B) = 0.65 and P(AUB) = 0.873, find the value of

P(An B), rounding to the nearest thousandth, if necessary.

Answer 1

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Work Shown:

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Side note:

A similar formula is

We can isolate the last term to get the first equation shown above.

Explanation:

Answer 2

Answer: 0.557

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Work Shown:

`P(A \cap B) = P(A) + P(B) - P(A \cup B)\\\\P(A \cap B) = 0.78 + 0.65 - 0.873\\\\P(A \cap B) = 0.557\\\\`

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Side note:

A similar formula is
`P(A \cup B) = P(A) + P(B) - P(A \cap B)`

We can isolate the last term to get the first equation shown above.