Probability Distribution

2. D I S C R E T E P R O B A B I L I T Y D I S T R I B U T I O N
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3. Steps in getting the probability of each value of the
random variable:
• Assign letters that will represent each outcome.
• Determine the sample space (possible outcomes).
• count the number of the value of the random variable.
• Given the total possible values of the random variable,
assign probability values to each value of the random
variable.

4. Suppose three coins are tossed.
Let X be the random variable
representing the number of heads.
Construct the probability
distribution and draw the
histogram.

5. HHH
HHT
HTT
HTH
THH
TTH
THT
TT
T
3
2
2
2
1
1
0
1
Possible
Outcome
s
Value of the random
variable, X
no. of Heads, X
Probability, P (X)
0 1 2 3
1/
8
3/8 3/8 1/
8
SOLUTION: Probability Distribution
X
1/8
2/8
3/8
4/8
P(X
)

6. Two Fair dice are thrown
simultaneously. Let X be the sum
of the two outcomes in throwing
the two fair dice. Construct a
probability distribution. Draw the
histogram.

7. 0 p(x) 1
P R O P E R T I E S O F A D I S C R E T E
P R O B A B I L I T Y D I S T R I B U T I O N
p(x) =1

8. not probability
distribution
Discrete Probability
Distribution

9. Provide space for more
examples