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NDA 2024
Exam
NDA
Year
2024
Subject
Mathematics
Chapter
Probability

NDA 2024 · Mathematics · Probability

For two events A and B, P(A)=P(A B)=0.25 and P(B A)=0.5 . Which of...

For two events A and B,P(A)=P(A∣B)=0.25\mathrm{B}, \mathrm{P}(\mathrm{A})=\mathrm{P}(\mathrm{A} \mid \mathrm{B})=0.25 and P(B∣A)=0.5\mathrm{P}(\mathrm{B} \mid \mathrm{A})=0.5. Which of the following are correct? A. A and B are independent. B. P(AC∪BC)=0.875\mathrm{P}\left(\mathrm{A}^{\mathrm{C}} \cup \mathrm{B}^{\mathrm{C}}\right)=0.875 C. P(AC∩BC)=0.375\mathrm{P}\left(\mathrm{A}^{\mathrm{C}} \cap \mathrm{B}^{\mathrm{C}}\right)=0.375 Select the answer using the code given below.

Options

  1. AA and B only
  2. BB and C only
  3. CA and C only
  4. DA, B and C

Correct answer

D. A, B and C

Step-by-step solution

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