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Question: If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probabilit...

If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A fails or B fails is

A

0.5

B

0.44

C

0.06

D

None of these

Answer

0.44

Explanation

Solution

Required probability = 1 – (neither A nor B fails)

= 1 – P (both A and B are successful)

= 1 – (1 – 0.2) (1 – 0.3)

= 1 – 0.8 x 0.7 = 0.44