iran-konkur 2021 Q130

iran-konkur · Other · konkur-riazi_1400_specialized Probability Definitions Probability Involving Algebraic or Number-Theoretic Conditions
130- We write the numbers 1 to 21 each on a card and place them in a bag. We then randomly draw two cards one after another without replacement and place them aside. The set of all possible outcomes forms set $A$. We select one number from set $A$. What is the probability that the selected number is divisible by 6?
(1) $\dfrac{13}{84}$ (2) $\dfrac{65}{417}$ (3) $\dfrac{11}{70}$ (4) $\dfrac{67}{417}$
\textbf{130-} We write the numbers 1 to 21 each on a card and place them in a bag. We then randomly draw two cards one after another without replacement and place them aside. The set of all possible outcomes forms set $A$. We select one number from set $A$. What is the probability that the selected number is divisible by 6?

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(1) $\dfrac{13}{84}$ \hfill (2) $\dfrac{65}{417}$ \hfill (3) $\dfrac{11}{70}$ \hfill (4) $\dfrac{67}{417}$

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