GrumpCat1806 GrumpCat1806
  • 19-05-2021
  • Mathematics
contestada

Find the indicated probability.

If P(A and B)=0.4, P(A) = 0.7, and

P(B) = 0.6, find P(A or B).

Respuesta :

joaobezerra joaobezerra
  • 24-05-2021

Answer:

P(A or B) = 0.9.

Step-by-step explanation:

This is a question of Venn probabilities.

We use the following relation to solve this question.

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

The exercise states that:

[tex]P(A) = 0.7, P(B) = 0.6, P(A \cap B) = 0.4[/tex]

Then

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.7 + 0.6 - 0.4 = 0.9[/tex]

The answer is:

P(A or B) = 0.9.

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