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  • Explain Solution R.D.Sharma Class 12 Chapter 30 Probability Exercise 30 .4 Question 25 Sub Question 1 Maths Textbook Solution.

Explain Solution R.D.Sharma Class 12 Chapter 30 Probability  Exercise 30.4 Question 25 Sub Question 1 Maths Textbook Solution

Answers (1)

Answer: P_{1}P_{2}=P\left ( A \& B Occur \right )

Given: Let A and B be two independent events such that

            P(A)=p_{1} \& P(B)=p_{2}

Hint: Use, P\left ( A \right )\times P\left ( B \right )=P\left ( A\cap B \right )

Solution:

As we know, Two events are said to be independent if the product of the events are equal to their intersection. i.e. P\left ( A\cap B \right )=P\left ( A \right )P\left ( B \right )

As, P_{1}P_{2}=P\left ( A \right )\times P\left ( B \right )

And A and B are independent events

i.e\begin{gathered} P(A) \times P(B)=P(A \cap B) \\ \end{gathered}

     \begin{gathered} P(A \cap B)=P_{1} P_{2} \end{gathered}

 Hence,  P_{1}P_{2}=P\left ( A \& B Occur \right )

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