Answer :

Answer:

[tex]\begin{gathered} a)0.32_{} \\ b)\text{ 0.1024} \end{gathered}[/tex]

Explanation:

a) Mathematically, the total probability will be equal to 1

So we have it splitted as:

[tex]\begin{gathered} P=\text{ P(A) + P(B) + P(C)} \\ 1\text{ = 0.32 + 0.36 + P(C)} \\ P(C)=1-0.32-0.36\text{ = 0.32} \end{gathered}[/tex]

b) We have this as:

[tex]\begin{gathered} P(A\text{ n C) = P(A) }\times\text{ P(C)} \\ =\text{ 0.32 }\times\text{ 0.32} \\ =0.1024 \end{gathered}[/tex]