Independent Events Flashcards

GCSE Mathematics (Edexcel) 1MA1

Independent events

Two events are independent if the outcome of one event does not affect the outcome of the other.

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Terms in this set (10)

1

Independent events

Two events are independent if the outcome of one event does not affect the outcome of the other.

2

Probability of independent events

For two independent events A and B, P(A and B) = P(A) × P(B).

3

Key property of independent events

If events A and B are independent, P(A | B) = P(A).

4

Example of independent events

Flipping a coin and rolling a die are independent events because the outcome of one does not affect the other.

5

Dependent vs independent events

Dependent events are affected by each other, while independent events are not.

6

Testing for independence

To test if A and B are independent, check if P(A and B) = P(A) × P(B).

7

Mutually exclusive vs independent events

Mutually exclusive events cannot happen at the same time, while independent events can.

8

P(A and B) formula for independent events

For independent events, P(A and B) = P(A) × P(B).

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Real-life example of independent events

Choosing a card from a deck and tossing a coin are independent events.

10

Effect of independence on conditional probability

If A and B are independent, P(A | B) = P(A) and P(B | A) = P(B).

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