If the blood of a person having a blood cancer is transferred to the body of other(healthy) person than how much chances are there that the healthy person will also be diseased?

Of course the question of what type of blood cancer, there are several different types. Then what type of transfusion , since there are several types of that also.

But in the US, those people with cancer and for a while after being cured ( for those who are cured) they have a waiting period before they can donate blood.

At this time there is no known cases of anyone getting cancer from a blood tranfussion.

Blood donation by cancer survivors