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TS EAMCET · Maths · Probability

A and \({B}\) are two independent events. \({P}({A})=\frac{2}{5}, {P}({B})=\frac{1}{3}\). Match the following.


The correct answer is \( \begin{array}{llll} \mathbf{A} & \mathbf{B} & \mathbf{C} & \mathbf{D} \end{array} \)

  1. A \(\begin{array}{llll}\text { I } & \text { III } & \text { IV } & \text { II }\end{array}\)
  2. B \(\begin{array}{llll}\text { II } & \text { IV } & \text { V } & \text { I }\end{array}\)
  3. C \(\begin{array}{llll}\text { II } & \text { IV } & \text { III } & \text { V }\end{array}\)
  4. D \(\begin{array}{llll}\text { II } & \text { IV } & \text { III } & \text { I }\end{array}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\begin{array}{llll}\text { II } & \text { IV } & \text { III } & \text { I }\end{array}\)

Step-by-step Solution

Detailed explanation

Given \({P}({A})=\frac{2}{5}, {P}({B})=\frac{1}{3}\) are independent events. \( \Rightarrow {P}({A} \cap {B})={P}({A}) \times {P}({B})=\frac{2}{15} \) From the Venn diagram, you can see (A)…