MCQ
Choose the correct answer.
If A and B are mutually exclusive events, then:
- A$\text{P(A)}\leq\text{P}(\bar{\text{B}})$
- B$\text{P(A)}\geq\text{P}(\bar{\text{B}})$
- C$\text{P}(\text{A})<\text{P}(\bar{\text{B}})$
- Dnone of these.
Choose the correct answer.
If A and B are mutually exclusive events, then:
Solution:
For mutually exclusive events,
$\text{P}(\text{A}\cap\text{B})=0$
$\therefore\ \text{P}(\text{A}\cup\text{B})=\text{P(A)}+\text{P(B)}$ $\big[\because\text{ P}(\text{A}\cap\text{B})=0\big]$
$\Rightarrow\text{P}(\text{A})+\text{P(B)}\leq1$
$\Rightarrow\text{P(A)}+1-\text{P}(\bar{\text{B}})\leq1$ $\big[\text{P(B)}=1-\text{P}(\bar{\text{B}})\big]$
$\Rightarrow\text{P(A)}-\text{P}(\bar{\text{B}})\leq0$
$\Rightarrow\text{P(A)}-\text{P}(\bar{\text{B}})$
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Equation of the hyperbola with eccentricty $\frac{3}{2}$ and foci at $(\pm2,0)$ is:
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none of these.
If A and B are mutually exclusive events then: