Independent VS Dependent Probability

Front

What is Independent Probability?

Back

Independent probability refers to the likelihood of an event occurring that is not affected by the occurrence of another event.

Front

What is Dependent Probability?

Back

Dependent probability refers to the likelihood of an event occurring that is affected by the occurrence of another event.

Front

Example of Independent Events: Drawing with Replacement

Back

If you draw a card from a deck, replace it, and draw again, the events are independent.

Front

Example of Dependent Events: Drawing without Replacement

Back

If you draw a card from a deck and do not replace it, the second draw is dependent on the first.

Front

What is the formula for Independent Probability?

Back

P(A and B) = P(A) * P(B) for independent events.

Front

What is the formula for Dependent Probability?

Back

P(A and B) = P(A) * P(B|A) for dependent events.

Front

If a red cube is drawn and replaced, what is the nature of the second draw?

Back

The second draw is independent of the first draw.

Front

If a marble is drawn and not replaced, what is the nature of the second draw?

Back

The second draw is dependent on the first draw.

Front

What does 'with replacement' mean in probability?

Back

'With replacement' means that after an event occurs, the item is returned to the original set before the next event.

Front

What does 'without replacement' mean in probability?

Back

'Without replacement' means that after an event occurs, the item is not returned to the original set before the next event.