roxannejosey5461 roxannejosey5461
  • 21-10-2020
  • Mathematics
contestada

Let A and B be events with P(A) = 0.7 and P(A ∩ B) = 0.3. For what value of P(B) will A and B be independent?

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onyebuchinnaji
onyebuchinnaji onyebuchinnaji
  • 21-10-2020

Answer:

The value of P(B) for independent events = 0.429

Step-by-step explanation:

Given;

P(A) = 0.7

P(A ∩ B) = 0.3

A and B will be independent if  event A will occur and B will also occur, ie A and B will occur independently.

P(A) and P(B) =  P(A ∩ B)  

[tex]P(B) = \frac{ P(A\ n\ B) }{P(A)}\\\\ P(B) = \frac{0.3}{0.7}\\\\P(B) = 0.429[/tex]

Therefore, the value of P(B) for independent events = 0.429

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