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(AuuB)#?

Question

# P(A) = 0.2, P(B) = 0.4# and #P(A uu C) = 0.7#

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Answer 1 · 2017-03-10T01:43:02

# P( A uu B) = 0.6 #

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

# P(A nn B) = 0 #

And , We know that:

# P( A uu B) = P(A) + P(B) - P(A nn B ) #
# " " = 0.2 + 0.4 - 0 #
# " " = 0.6 #