The Prophet (pbuh) said:
“What is halaal is that which God has permitted in His Book, and what
is haraam is that which God has forbidden in His Book, and what He has
remained silent about is forgivable.” Narrated by al-Tirmidhi, 1726;
classed as hasan by al-Albaani in Saheeh al-Tirmidhi.
While there are hadiths and verses which prohibits subjects such as Black Magic and other future foretelling such as Astrology.
Narrated by Ibn 'Abbas: The Prophet (PBUH) said: "A person who learns
a part of astrology is as if he learns magic, and the more he learns
this, the more he learns of magic". By Abu- Dawud
However, there are no such hadiths or verses which forbids the subject "Statistics and Probability". Furthermore, Statistics and Probability is not classified under Astrology but is considered part of Maths. Mathematics is a well established and well respected subject. Therefore studying Statistics and Probability is not forbidden.
Hope that's the answer to your question.