iran-konkur 2013 Q154

iran-konkur · Other · konkur-riazi_1392 Probability Definitions Conditional Probability and Bayes' Theorem
154. Five white marbles numbered 1 to 5 and five black marbles numbered 1 to 5 are placed in two separate containers. Two marbles are drawn at random from each container. If the sum of the two marbles from each container is 6, what is the probability that both marbles are the same color?
(1) $\dfrac{2}{5}$ (2) $\dfrac{4}{9}$ (3) $\dfrac{5}{9}$ (4) $\dfrac{3}{5}$
\textbf{154.} Five white marbles numbered 1 to 5 and five black marbles numbered 1 to 5 are placed in two separate containers. Two marbles are drawn at random from each container. If the sum of the two marbles from each container is 6, what is the probability that both marbles are the same color?

\medskip
(1) $\dfrac{2}{5}$ \hfill (2) $\dfrac{4}{9}$ \hfill (3) $\dfrac{5}{9}$ \hfill (4) $\dfrac{3}{5}$

\bigskip