Math Help - posterior probability question

hi
in the attachment is the question
I have problem solving it
from question I just knew the Prior Probability for that their claim correct is =0.2 and not correct =0.8
after he did the experiment he found that it is correct 100 %
but I could not find where is the posterior
Prior Probability =0.2
correcting information= 1
posterior =?
until now this is what I came up with

thank you in advance

Originally Posted by Logical

hi
in the attachment is the question
I have problem solving it
from question I just knew the Prior Probability for that their claim correct is =0.2 and not correct =0.8
after he did the experiment he found that it is correct 100 %
but I could not find where is the posterior
Prior Probability =0.2
correcting information= 1
posterior =?
until now this is what I came up with

thank you in advance

Prior: Pr(T > 10) = 0.2

Pr(Data | T > 10) = 1, Pr(Data | T < 10) = 0.

.

.

.

Therefore .

Thank you for helping me