Determine all joint probabilities listed below by using the given information. Make sure to note the multiplication rules for probabilities listed in

your textbook. You may have to calculate some necessary values by using the complement if these values are not already listed.

$P(A)=0\mathrm{.}85,P(A^c)=0\mathrm{.}15,P(B|A)=0\mathrm{.}33,P(B|A^c)=0\mathrm{.}61$

$P(A$ and $B)=$

$P(A$ and $B^c)=$

$P(A^c$ and $B)=$

$P(A^c$ and $B^c)=$ Using the formula: P$($B$^$c$/$A$)=1-$P$($B$/$A$)$