Question $8$

An investor is considering $3$ stocks $($A$,$ B$,$ and C$)$ that could potentially rise in price soon.

The probability that stock A will rise in price is $0\mathrm{.}3$ while that of $B$ and $C$ are $0\mathrm{.}8$ and $0\mathrm{.}5$ respectively.

Assume these events are independent.

Hint: Draw a probability tree$/$tree diagram.

Do not round calculation results.

What is the probability that

all $3$ stocks will rise in price?

none of the $3$ stocks will rise in price?

not all $3$ stocks will rise in price?

only stock A will rise in price?

only stocks $B$ and $C$ will rise in price?

only stock $C$ will not rise in price?

at least one stock will rise in price?

no more than two stocks will rise in price?

only one stock will rise in price?

stock $B$ will not rise in price given both A and $C$ rise in price?