AP EAMCET · Maths · Probability
If \(A\) and \(B\) are two independent events such that \(P(A)=0.3,
P(B)=x\) and \(P(A \cup B)=0.44\), then \(x=\)
- A \(0.1\)
- B \(0.4\)
- C \(0.3\)
- D \(0.2\)
Answer & Solution
Correct Answer
(D) \(0.2\)
Step-by-step Solution
Detailed explanation
\(P(A \cup B)=P(A)+P(B)-P(A \cap B)\) \(\Rightarrow \quad 0.44=0.3+x-P(A \cap B)\) \(\Rightarrow \quad 0.44-0.30=x-(P(A) \cdot P(B))\) \(\begin{aligned} \Rightarrow \quad 0.14= & x-(0.3 x) \\ & {[\because A \text { and } B \text { are independent events and }}\end{aligned}\)…
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