If two elements \(\mathrm{A}\) and \(\mathrm{B}\) are independent. then \(\mathrm{P}(A\) and \(B)\) is ____________
A. \( \mathrm{P}(\mathrm{A} \cap \mathrm{B})\) B. \(\mathrm{P}(A \cup B)\) C. \(\mathrm{P}(A)\) D. \(\mathrm{P}(B)\)
Correct Answer: A
Explanation
If two elements \(A\) and \(B\) are independent events. the probability of both \(A\) and \(B\) occurring together is equal to the product of the individual probabilities i.e. \(P(A\) and \(B)=P(\triangle \cap B)\) \(=\mathrm{P}(\mathrm{A}) \times \mathrm{P}(\mathrm{B})\)
