iran-konkur 2017 Q155

iran-konkur · Other · konkur-riazi_1396_specialized Conditional Probability Direct Conditional Probability Computation from Definitions
155- A sample space consists of 5 outcomes $a, b, c, d, e$. If $P(a) = \dfrac{1}{4}$ and $P(\{a,b,c\}) = \dfrac{2}{3}$, then $P(\{b,c,e\} \mid \{a,b,c\})$ equals what?
(1) $\dfrac{5}{8}$ (2) $\dfrac{5}{12}$ (3) $\dfrac{5}{8}$ (4) $\dfrac{3}{4}$
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\textbf{155-} A sample space consists of 5 outcomes $a, b, c, d, e$. If $P(a) = \dfrac{1}{4}$ and $P(\{a,b,c\}) = \dfrac{2}{3}$, then $P(\{b,c,e\} \mid \{a,b,c\})$ equals what?

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(1) $\dfrac{5}{8}$ \hfill (2) $\dfrac{5}{12}$ \hfill (3) $\dfrac{5}{8}$ \hfill (4) $\dfrac{3}{4}$

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