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 cards with replacement.

Back

When you draw a card from a deck, replace it, and draw again, the outcome of the second draw is independent of the first.

Front

Example of dependent events: Drawing cards without replacement.

Back

When you draw a card from a deck and do not replace it, the outcome of the second draw depends on the first.

Front

What is the probability of drawing a red cube, replacing it, and then drawing a white cube?

Back

Independent; the first draw does not affect the second.

Front

What is the probability of drawing two marbles from a bag without replacement?

Back

Dependent; the outcome of the second draw is affected by the first.

Front

Define 'replacement' in probability.

Back

Replacement means putting an item back into the set before the next draw, keeping the total number of items constant.

Front

Define 'without replacement' in probability.

Back

Without replacement means not putting an item back into the set before the next draw, reducing the total number of items.

Front

What is the probability of picking 2 students from a group of 20 to be line leader and door holder?

Back

Dependent; the selection of the first student affects the pool for the second.

Front

What is the probability of picking an earring, replacing it, and then picking a second earring?

Back

Independent; the first pick does not affect the second.