A person draws a card from a pack of 52, replaces it
and shuffles it. He continues doing so until he draws
a heart. What is the probablity that he has to make at
least 3 trials?

Question

A person draws a card from a pack of 52, replaces it
 and shuffles it. He continues doing so until he draws 
a heart. What is the probablity that he has to make at
least 3 trials?

mathmath333 · Answer

$\large \color{black}{\begin{align}
& \normalsize \text{A person draws a card from a pack of 52, replaces it} \hspace{.33em}\~\
& \normalsize \text{ and shuffles it. He continues doing so until he draws }\hspace{.33em}\~\
& \normalsize \text{a heart. What is the probablity that he has to make at}\hspace{.33em}\~\
& \normalsize \text{least 3 trials?}\hspace{.33em}\~\
& a). \dfrac{3}{17} \hspace{.33em}\~\
& b). \dfrac{8}{19} \hspace{.33em}\~\
& c). \dfrac{2}{17} \hspace{.33em}\~\
& d). \dfrac{11}{17} \hspace{.33em}\~\
\end{align}}$

phi · Answer

this sounds like the "hit or miss" problem from yesterday

mathmath333 · Answer

u mean binomuial distrbtion

mathmath333 · Answer

hint is given: the player didnt get a heart in first 2 cases

mathmath333 · Answer

i think by the hint it can be 1-(3/4)^2=7/16 but that is not in options

mathmath333 · Answer

answer given is d.)11/16

phi · Answer

doing a tree
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