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Phrases Probability PYQ


Phrases PYQ
If from each of the three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3 black balls, one ball is drawn at random, then the probability that 2 white and 1 black balls will be drawn is:





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Phrases Previous Year PYQPhrases CUET 2022 PYQ

Solution


Phrases PYQ
Given below are two statements: 
Statement I : If $A\subset B$ then B can be expressed as $B=A\cup(\overline{A}\cap B)$ and P(A) > P(B).

Statement II : If A and B are independent events, then ($A$ and $\overline{B}$), ($\overline{A}$ and $B$) and ($\overline{A}$ and $\overline{B}$) are also independent 
In the light of the above statements, choose the most appropriate answer from the options given below:





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Phrases Previous Year PYQPhrases CUET 2022 PYQ

Solution


Phrases PYQ
Consider n events ${{E}}_1,{{E}}_2\ldots{{E}}_n$ with respective probabilities ${{p}}_1,{{p}}_2\ldots{{p}}_n$. If $P\Bigg{(}{{E}}_1,{{E}}_2\ldots{{E}}_n\Bigg{)}=\prod ^n_{i=1}{{p}}_i$, then





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Phrases Previous Year PYQPhrases CUET 2022 PYQ

Solution


Phrases PYQ
Given a set of events ${{E}}_1,{{E}}_2\ldots{{E}}_n$ defined on the sample space S such that :
(i) $\forall\, i\, and\, j,\, i\ne j,\, {{E}}_i\cap{{E}}_j=\phi$
(ii) $\begin{matrix}\overset{{n}}{\bigcup } \\ ^{i=1}\end{matrix}{{E}}_i=S$
(iii) $P({{E}}_i){\gt}0,\, \forall$ 

Then the events are 





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Phrases Previous Year PYQPhrases CUET 2022 PYQ

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Phrases PYQ
Given three identical boxes B1 B2 and B3 each containing two balls. B1 containstwo golden balls. B2 contains two silver balls and B3 contains one silver and onegolden ball. Conditional probabilities that the golden ball is drawn from B1, B2, B3are ____,______,______ respectively





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Phrases Previous Year PYQPhrases CUET 2022 PYQ

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