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