This topic introduces the multiplication rules for Independent & Dependent Events.


Lesson 1 of 3: Learning Outcomes

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At the end of this lesson, you should be able to


Lesson 2 of 3: Multiplication Rules for Independent & Dependent Events (20 mins)

Independent Events

Two events A and B are independent if the probability of one event occurring does not affect the probability of the other event occurring.

Example: In tossing a coin and rolling dice, Events A (tossing a coin)and B (rolling a dice) are said to be independent since outcome of A does NOT affect probability of B.

Multiplication rules can be used to find probability of two or more events that occur in sequence.

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Example:

A survey by the Raffles Club revealed 60% of its members made airline reservations last year.  Two members, R1 and R2 are selected at random. What is the probability both of them made airline reservations last year?

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Dependent Events

Two events A and B are dependent if the probability of one event if outcome of first event A affects probability of second event B.

Example of a Dependent Event is drawing two cards from a deck of 52 poker cards without replacement. Let B be the event that the first card is an ace of heart, A be the event that the second card drawn is an ace.

Multiplication rules can be used to find probability of two or more events that occur in sequence.

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