iran-konkur 2018 Q148

iran-konkur · Other · konkur-riazi_1397_specialized Probability Definitions Probability Using Set/Event Algebra
148- Three people are working on decoding a message. Their probabilities of success are $\frac{2}{3}$, $\frac{3}{4}$, and $\frac{1}{2}$ respectively. What is the probability that at least one of them succeeds?
(1) $\dfrac{19}{24}$ (2) $\dfrac{5}{6}$ (3) $\dfrac{11}{12}$ (4) $\dfrac{23}{24}$
\textbf{148-} Three people are working on decoding a message. Their probabilities of success are $\frac{2}{3}$, $\frac{3}{4}$, and $\frac{1}{2}$ respectively. What is the probability that at least one of them succeeds?

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(1) $\dfrac{19}{24}$ \hfill (2) $\dfrac{5}{6}$ \hfill (3) $\dfrac{11}{12}$ \hfill (4) $\dfrac{23}{24}$

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