Maths · Probability: Probability of an event, addition and multiplication theorems of probability
and are two events where = \) 0.25 and =0.5 . \) The probability of both happeni
\( A \) and \( B \) are two events where \( P(A)= \) 0.25 and \( P(B)=0.5 . \) The probability of both happening together is 0.14 . The probability of both \( A \) and \( B \) not happening is
- A. 0.39
- B. 0.25
- C. 0.11
- D. none of these
Step-by-step solution
Using the formula P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = 0.25 + 0.5 - 0.14 = 0.61. Then P(neither A nor B) = 1 - P(A ∪ B) = 1 - 0.61 = 0.39.
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