The value of the probability P(A u B') is 0.8218
The given parameters are
P(A) = 0.67
P(B) = 0.54
P(A u B) = 0.89
From the above parameters, we have
P(B') = 1 - P(B)
P(B') = 1 - 0.54
P(B') = 0.46
So, we have
P(A u B') = P(A) + P(B') - [P(A) * P(B')]
This gives
P(A u B') = 0.67 + 0.46 - (0.67 * 0.46)
Evaluate
P(A u B') = 0.8218
Hence, the value of the probability P(A u B') is 0.8218
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