Two events are dependent if the outcome of the first event affects the outcome of the second event, so that the probability is changed. Example : Suppose we have 5 blue marbles and 5 red marbles in a bag.

Is dependent the one you measure?

A variable is what is measured or manipulated in an experiment. A dependent variable is what you measure in the experiment and what is affected during the experiment. The dependent variable responds to the independent variable. It is called dependent because it “depends” on the independent variable.

What are examples of dependent events?

An event that is affected by previous events. Example: removing colored marbles from a bag. Each time you remove a marble the chances of drawing out a certain color will change.

How do you determine independent and dependent events?

Independent Events

1. Two events A and B are said to be independent if the fact that one event has occurred does not affect the probability that the other event will occur.
2. If whether or not one event occurs does affect the probability that the other event will occur, then the two events are said to be dependent.

What is the difference between independent and dependent variables?

You can think of independent and dependent variables in terms of cause and effect: an independent variable is the variable you think is the cause, while a dependent variable is the effect. In an experiment, you manipulate the independent variable and measure the outcome in the dependent variable.

How do you find the probability of A and B dependent?

Formula for the probability of A and B (independent events): p(A and B) = p(A) * p(B). If the probability of one event doesn’t affect the other, you have an independent event. All you do is multiply the probability of one by the probability of another.

What is the probability of A and B dependent?

If A and B are dependent events, then the probability of A happening AND the probability of B happening, given A, is P(A) × P(B after A). Example: A purse contains four $5 bills, five $10 bills and three $20 bills. Two bills are selected without the first selection being replaced.

What is dependent and independent event?

Dependent events influence the probability of other events – or their probability of occurring is affected by other events. Independent events do not affect one another and do not increase or decrease the probability of another event happening.