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Provide Solution For  R.D. Sharma Maths Class 12 Chapter 30 Probaility  Exercise 30.4 Question 6 Sub Question 4 Maths Textbook Solution.

Answers (1)

Answer:0.28

Hint:Use

             \begin{gathered} \mathrm{P}(\overline{\mathrm{A}} \cap \overline{\mathrm{B}})=\mathrm{P}(\overline{\mathrm{A}}) \mathrm{P}(\overline{\mathrm{B}}) \\ \end{gathered}

Given:

           \begin{gathered} \mathrm{P}(\mathrm{A})=0.3 \\ \mathrm{P}(\mathrm{B})=0.6 \\ \end{gathered}

Solution:

\begin{gathered} \mathrm{P}(\overline{\mathrm{A}} \cap \overline{\mathrm{B}})=\mathrm{P}(\overline{\mathrm{A}}) \mathrm{P}(\overline{\mathrm{B}}) \\ \end{gathered}

                     \begin{gathered} =[1-\mathrm{P}(\mathrm{A})][1-\mathrm{P}(\mathrm{B})] \\ \end{gathered}

                    \begin{gathered} =[1-0.3][1-0.6] \\ \end{gathered}

                     \begin{gathered} =(0.7) \times(0.4) \\ \end{gathered}

                      =0.28

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