Question

8.Given that P(Ā) = 0.4. P(B) = 0.2 and P(A/B)=0.5 find P (AUB).​

Answer 1

Answer:

The value of P (A ∪ B) is 0.70.

Step-by-step explanation:

The information provided is:

$P(\bar A)=0.40\\P(B)=0.20\\P(A|B)=0.50$

The value of P (A) is:

$P(A)=1-P(\bar A)=1-0.40=0.60$

The value of P (A ∩ B) is:

$P(A\cap B)=P(A|B)P(B)=0.50\times0.20=0.10$

Compute the value of P (A ∪ B) as follows:

$P(A\cup B)=P(A)+P(B)-P(A\cap B)\\=0.60+0.20-0.10\\=0.70$

Thus, the value of P (A ∪ B) is 0.70.

Answer 2

Step-by-step explanation:

0.7

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