There is a 2 5 chance of pulling out a blue marble and a 3 5 chance for red.
Marble simple probability examples trees.
This video goes through 2 examples of probability.
What is the probability the third marble is the first red marble.
One example uses with replacement and one example uses without replacement.
This is called probability without replacement or dependent probability.
We calculated p drawing a non red 455.
The probability of picking a yellow marble.
Is a wonderful way to picture what is going on so let s build one for our marbles example.
We can use a tree diagram to help us find the probability.
Again we ll have to think about the possible outcomes first.
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.
And so this is sometimes the event in question right over here is picking the yellow marble.
In this example we are figuring out the probability of randomly picking a non blue marble from a bag.
Use these examples of probability to guide you through calculating the probability of simple events.
The probability is 1 3 for each of these.
We can go one step further and see what happens when we pick a second marble.
This math education video demonstrates how to calculate the probability of removing colored marbles from a bag.
We ll use the following model to help calculate the probability of simple events.
Dependent events are what we look at here.
Another way of representing 2 or more events is on a probability tree.
One ball is picked out and not replaced and then another ball is picked out.
Red yellow and blue.
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.
There are 3 balls in a bag.
So they say the probability i ll just say p for probability.
Problems demonstrate non conditional and cond.
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.
A coin is biased so that it has a 60 chance of landing on heads.
The first ball can be red yellow or blue.
This means the first two are not red.
The sample space for the second event is then 19 marbles instead of 20 marbles.
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.
Probability tree diagrams for independent events how to solve probability problems using probability tree diagrams.
