1. ©G Dear 2009 – Not to be sold/Free to use
Relative
Frequency
General Mathematics
Preliminary
Single Event
Probability
Stage 6 - Year 11
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©G Dear 2009 – Not to be sold/Free to use

2. Single Event Probability (1/7)
Sample Space - S
The list of all possible Outcomes.
Event Space - E
The list of all favourable Outcomes.
Number of favourable events.
n(E)
P(E) =
n(S)
Number of all possible outcomes.
Probability of event.

3. Single Event Probability (2/7)
What is the sample space for:
a) Tossing a coin?
S = { H,
T }
b) Tossing 2 coins?
S = {
HH,
HT,
TH,
TT}
c) Rolling a die?
S = { 1, 2, 3, 4, 5,
6 }

4. Single Event Probability (3/7)
What is the event space for:
a) Rolling a die for a number >3?
E = { 4, 5,
6 }

5. Single Event Probability (4/7)
What is the event space for:
b) A picture card in a standard deck?
E = {
J,
Q,
K,
J,
Q,
K,
J,
Q,
K,
J,
Q,
K}

6. Single Event Probability (5/7)
The numbers 1, 2, 3, 4 are written on four cards. 1 2 3 4
What is the probability that a four digit number is odd?
Hint
n(E) 2 1
If the number is odd then the last digit is odd.
P(E) = = =
n(S) 4 2

7. Single Event Probability (6/7)
What is the probability of getting a Jack in a standard pack of 52 cards?
n(E) 4 1
P(E) = = =
n(S) 52 13

8. Single Event Probability (7/7)
What is the probability of getting a Red?
n(E) 5 1
P(Red) = = =
n(S) 15 3