Three events A, B and C are defined in the sample space S. The events A and B are mutually exclusive and A and C are independent. What is $P (A \cup B)$ $P(AuuB)$ ?

Question

$P (A) = 0.2, P (B) = 0.4$ $P(A) = 0.2, P(B) = 0.4$ and $P (A \cup C) = 0.7$ $P(A uu C) = 0.7$

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Answer 1 · 2017-03-10T01:43:02

$P (A \cup B) = 0.6$ $P( A uu B) = 0.6$

If $A$ $A$ and $B$ $B$ are mutually exclusive;

$P (A \cap B) = 0$ $P(A nn B) = 0$

And , We know that:

$P (A \cup B) = P (A) + P (B) - P (A \cap B)$ $P( A uu B) = P(A) + P(B) - P(A nn B )$
$= 0.2 + 0.4 - 0$ $" " = 0.2 + 0.4 - 0$
$= 0.6$ $" " = 0.6$