They can be comforting if they are 99% in my favor.
Oppositely, 1% in my favor would be depressing, no matter what it is.
If it was 60% in my favor for a health problem, that would not be comforting because the 40% could be something really bad, while the 60% would be normal life.
I also agree with @JLeslie Statistics can also be manipulated by presenting statistics that look and sound relevant, but aren’t mathematically. For example, imagine that there is a crime where there is a description of the suspect by a witness and the suspect matches the description. The prosecution can bring up statistics that say that there is something like a 1 in 100,000 chance that a person matches the discription. This makes the suspect seem pretty guilty. The irrelavancy comes because this statistic shows the chance that a random person matches the discription, not the chance that a person who matches the discription is the guilty person. If we are talking about an area with 300,000 people, then the same statistic show that there are about 2 other people who match the description, giving a probability of ⅓ that the person is guilty, far from beyond reasonable doubt.