This is called probability without replacement or dependent probability.
Marble simple probability examples trees.
The probability of picking a yellow marble.
It is the ratio of the number of ways an event can occur to the number of possible outcomes.
Find the probability of pulling a yellow marble from a bag with 3 yellow 2 red 2 green and 1 blue i m assuming marbles.
We can go one step further and see what happens when we pick a second marble.
This means the first two are not red.
One example uses with replacement and one example uses without replacement.
Dependent events are what we look at here.
And so this is sometimes the event in question right over here is picking the yellow marble.
What is the probability the third marble is the first red marble.
There is a 2 5 chance of pulling out a blue marble and a 3 5 chance for red.
Another way of representing 2 or more events is on a probability tree.
We can use a tree diagram to help us find the probability.
This video goes through 2 examples of probability.
Is a wonderful way to picture what is going on so let s build one for our marbles example.
We ll use the following model to help calculate the probability of simple events.
Probability is the chance or likelihood that an event will happen.
There are 3 balls in a bag.
A coin is biased so that it has a 60 chance of landing on heads.
The sample space for the second event is then 19 marbles instead of 20 marbles.
The first red a jar contains 30 red marbles 12 yellow marbles 8 green marbles and 5 blue marbles you draw and replace marbles 3 times.
One ball is picked out and not replaced and then another ball is picked out.
This is the currently selected item.
This math education video demonstrates how to calculate the probability of removing colored marbles from a bag.
Problems demonstrate non conditional and cond.
We calculated p drawing a non red 455.
The probability is 1 3 for each of these.
Again we ll have to think about the possible outcomes first.
In this example we are figuring out the probability of randomly picking a non blue marble from a bag.
Red yellow and blue.
If it is thrown three times find the probability of getting a three heads b 2 heads and a tail c at least one head.
Use these examples of probability to guide you through calculating the probability of simple events.
For example a marble may be taken from a bag with 20 marbles and then a second marble is taken without replacing the first marble.
