The probability of transitioning out of an absorbing state is 1 ?

Is it TRUE or FALSE - The probability of transitioning out of an absorbing state is 1

Hey mathlearn.

Consider this intuitively: once you get to an absorbing state, you never leave since the probability of going anywhere else once you get there is 0 (since the probability of staying there is 1).

yea, that I know - once we reach an absorbing state, we stay there and don't move..

sorry I am just little confused by the words in the question statement - so this logic makes the above question statement true or false ? true, right ?

Do you not understand what "transitioning out" means?

yes, you understood my problem correctly, that's what making me confuse in the question statement what what exactly transitioning out means in this contex ? Cud you please explain and help me ?

anyone ?

Quote:

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Originally Posted by mathlearn

anyone ?

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The probability of transitioning out of an absorbing state is 1
is similar to saying that the probability of coming back to life after death is 1. What do you think?

oh haha...thanks for this example...i get it now...and yea this proves the question statement FALSE.