Maths Inside Baseball

Laws in Probability

The probability of an event A is defined as the

number of outcomes favourable to A divided by

the total number of equally likely outcomes in

the sample space S of the experiment.

Probability of events A and B

occurring together is

Probability of complementary event A is (^) x
Conditional probability is the
probability of an event B, given that
event A has already occurred.
x
If the probability of one event doesn’t affect the other, you have an
independent event. If events A and B are independent, the
probability of events A and B occurring together is
x
Law of large numbers proves that when there are more
samples(experiments), the error made from calculations based on
statistical data are reduced. Say is the amount of time an event A
occurred, when an experiment is n times repeated. When the relative
value reaches a specific value P, as n reaches infinity, P is the
statistical probability of event A happening.