Is it appropriate to use the geometric distribution to calculate probabilities in this situation?
In a game of darts, there are 20 sectors on a target,
and a smaller circular bullseye" in the center. In this
particular game, a player must correctly call "Tow"
consisting of the sectors numbered 1-10; high"
consisting of the sectors numbered 11-20, or
"bullseye, depending on what they are trying to hit if
they hit the section they call, they are a winner. A
player will attempt to hit Tow" on the first throw, then
will attempt to hit high" on the second throw, then will
attempt to hit bullseye on the third throw, and so on
until hitting the section they called.
Yes, the geometric distribution is appropriate
No, each trial is not independent of the other trials.
No, it is not looking for the first occurrence of
success
No, the probability of success is not the same for
each of the trials
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