Exercise $2.$

Say there is a treament $($T$)$ applied to two conditions $($C$)$ with some probability of success $($S$).$ The probability

of success for each case is enumerated in the table below,

You should be able to decipher tables like this on your own during an exam.

$($a$)[$A challenge question to be graded with kindness.$]$ What else do you need to know to determine which

treatment is more successful? Please be precise and concise.

$($b$)[$A question to be graded with ruthless rigor.$]$ Several cells in the above table assigns a numerical value

to $P(S=1|T=t,C=c)$ where $t$ and $c$ use the values along the columns and rows, respectively. Identify

where $P(S=1|T=0)$ and $P(S=1|T=1)$ live in the table $($you can circle them, for example$).$

$($c$)[$A question to be graded with ruthless rigor.