Give an experiment such that P(A) = 0.5 P(B) = 0.4 and P(A/B) = 0.6
P(A and B) = P(A/B)P(B) = 0.24
P(A or B) = P(A) + P (B) - P (A and B) = 0.5 + 0.4 - 0.24 = 0.66
Therefore P(A' or B') = ?
I've just forgotten how to work it out. You can also double-check my process :). Thanks!
P(A and B) = P(A/B)P(B) = 0.24
P(A or B) = P(A) + P (B) - P (A and B) = 0.5 + 0.4 - 0.24 = 0.66
Therefore P(A' or B') = ?
I've just forgotten how to work it out. You can also double-check my process :). Thanks!
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A trick you might find helpful is De Morgan's Law.
It states that:
A and B = (A or B)'
-and-
A or B = (A and B)'
So saying P(A' or B') is equivalent to saying [P(A and B)]'
And since the inverse probability of anything is 1 - P, you can simplify your answer to:
P(A' or B') = 1 - P(A and B)
It states that:
A and B = (A or B)'
-and-
A or B = (A and B)'
So saying P(A' or B') is equivalent to saying [P(A and B)]'
And since the inverse probability of anything is 1 - P, you can simplify your answer to:
P(A' or B') = 1 - P(A and B)