# 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)#?

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

##### 1 Answer

Mar 10, 2017

# P( A uu B) = 0.6 #

#### Explanation:

If

# 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 #