A bag contains 3 red marbles, 4 green marbles, 2 yellow...

A bag contains 3 red marbles, 4 green marbles, 2 yellow marbles, and
5 blue marbles. Once a marble is drawn, it is not replaced. Find the probability of each outcome.
a blue marble, a yellow marble, and then a red marble

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Dependent Events

When events occur one after another without replacement, the outcome of one event influences the outcomes of the next events. In such cases, the events are dependent because the total number of outcomes decreases with each draw.

Probability

Probability is the measure of how likely an event is to occur, typically defined as the ratio of the number of favorable outcomes to the total number of outcomes.

Multiplication Rule

The multiplication rule in probability is used to find the probability of a sequence of events occurring together. For dependent events, the probability of the sequence is equal to the probability of the first event multiplied by the probability of the second event (given the outcome of the first), and so on.

Sampling Without Replacement

Sampling without replacement means that once an item is selected, it is not put back into the set. This changes the composition of the set for subsequent selections, thereby altering their probabilities.

Transcript

Please give Ace some feedback