Prepared by

EDT 5303 TECHNOLOGY AND INNOVATION

IN EDUCATION

Dian Farhana Binti HazmiG1028314

Nurul Aidha Bt Mohd TarimiziG1023054

Siti Rahayu Bt YusofG1027662

PROBABILITY

Of An Event

Purpose Of Today’s Lesson

Based on the subtopic Introduction of Probability about events and sample space from previous lesson, students should be able to fulfill the following behaviors without any error that are:

Identify the possible outcomes of an event Calculate the probability of an event Interpret the complement probability of the event

Overview

DefinitionS = all possible outcomes / sample space

A = event that we choose to measure

n(S) = total number of possible outcomes

n(A) = number of event A can occur

P(A) = probability of event A to occur

Given Formula:

where .

)(

)()(

Sn

AnAP

1)(0 AP

Complement Of A Probability

P(A) = probability of an event A to occur

P(Ᾱ) = probability of an event A will NOT occur

Given Formula:

where .

)(1)( APAP

1)(0 AP

Example Flipping a coin

Let’s say you are playing a coin-tossing game with a friend. You tossed the coin once.

a) What is the probability of getting Head?

b) What is the probability of getting Tail?

Example 2

Pair up with a person next to you and discuss the answers.

Roll a six-sided fair dice once.

Find the probability and the complement of the following:

Event A: rolling a 3

Event B: rolling a 7

Event C: rolling a number less than 5.

SolutionFirst when rolling a six-sided dice, the sample space consists of six outcomes,

Outcome 1 2 3 4 5 6

P(A)6

1

6

1

6

1

6

1

6

1

6

1

a) Event A : rolling a 3 There is one outcome, A = {3} Therefore,

a) Event B : rolling a 7 There is no outcome, B = Therefore,

a) Event C : rolling a number less than 5 There are four possible outcomes, C = {1, 2, 3, 4} Therefore,

Assessment 1

Suppose you go to the store and there are six kinds of cereal.

Your mom tells you to pick one. When she comes back, you ask her to guess which one you chose.

Assuming she had no idea beforehand what your choice would be, how likely is it that she will guess the correct one?

Assessment 2

You were given twenty sweets from your aunt.

5 strawberry flavor,

7 orange flavor

and the rest is grape flavor.

What is the probability NOT getting orange flavor?

Conclusion

ProbabilityComplement of

an event

possibilities of an event to occur

possibilities of an event will NOT occurred

)(

)()(

Sn

AnAP )(1)( APAP