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  • 18-05-2020
  • Mathematics
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If the probability of rain is 0.75​, the probability of fog is 0.25​, and the probability of rain and fog is 0.25​, what is the probability of rain or​ fog?

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xero099
xero099 xero099
  • 21-05-2020

Answer:

[tex]P(A \cup B) = 0.75[/tex]

Step-by-step explanation:

There are two scenarios:

A - Rain

B - Fog.

The probability of rain or fog is determined by the Addition Rule, given that A and B are not mutually excluyent:

[tex]P(A\cup B) = P(A) + P(B) - P(A\cap B)[/tex]

[tex]P (A\cup B) = 0.75 + 0.25 - 0.25[/tex]

[tex]P(A \cup B) = 0.75[/tex]

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