Q. 105.0( 1 Vote )

# The probabilities

Given, P(A) = 0.25 and P(B) = 0.5

Also P(A B) = 0.14

We have to find P(A’ B’)

By De Morgan’s theorem we know that:

P(A’ B’) = P(A B)’

We know that P(A B) = P(A) + P(B) – P(A B)

P(A B) = 0.25 + 0.5 – 0.14 = 0.61

P(A’ B’) = P(A B)’ = 1 -P(A B) = 1 – 0.61 = 0.39

As our answer does not match with any other option

But option of none of these is there. So most suitable option is option (d)

Option (d) is the only correct choice.

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