UCLA
EE131A (KY)
1
EE 131A
Probability
Professor Kung Yao
Electrical Engineering Department
University of California, Los Angeles
Lecture 5-2

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*
UCLA
EE131A (KY)
2
Binomial Probability Law (1)
Consider a binary-valued experiment with outcomes
called a success (
S
) or a failure (
F
).
This experiment
can model the flip of a coin, with a Head (
H
)
associated with a success
S
and a Tail (
T
) associated
with a failure
F
.
Furthermore, let the probability of
a
H
be denoted by P(
H
) = P(
S
) = p and the
probability of a
T
be denoted by P(
T
) = P(
F
) = q =
1 – p.
The sample space
S
= {
H
,
T
}.
Ex. 1.
Toss a coin three times.
Assume the outcomes
of the three trials are independent.
What is the
sample space of this experiment?