There are a number of ways of approaching this problem but the easiest solution is to realize that it doesn t matter what order you took the marbles out in.
There are seven black marbles and nine white marbles.
So this is all the possible outcomes.
A jar contains 4 black marbles and 3 red marbles.
There are seven black marbles and nine white marbles in a bag.
Fancy word for just a simple idea that the sample.
An urn contains 4 red 6 white and 5 blue marbles.
9 blue marbles 8 green marbles 4 red marbles 8 white marbles and 6 yellow marbles.
Call it the second marble.
B how many samples contain exactly 4 red marbles and exactly 3 black marbles.
There are 35 marbles in a bag.
A draw the tree diagram for the experiment.
Two marbles are drawn without replacement.
And sometimes this is referred to as the sample space the set of all the possible outcomes.
This is our denominator.
There are 18 marbles in total.
There s two green marbles in the bag.
P r r 9 20 9 20 81 400 2025.
A sample of 12 marbles is to be picked from the box.
Write the probability as a fraction in simplest form a decimal and a percent.
So i could pick that green marble or that green marble.
Two marbles are drawn without replacement from a jar containing 4 black and 6 white marbles.
What is the approximate probability of drawing two black marbles and then a white marble without replacement.
Take out a marble.
All of the original white marbles are still in the bag so there is a 4 out of 17 or 4 17 chance that the next marble taken out of the bag will be white.
Give your answer as a decimal number with 3 decimal places.
And then there s one blue marble in the bag.
What is the probability that one of each color is selected.
C how many samples contain exactly 7 red marbles or exactly 6 green marbles.
Three marbles are selected at random and without replacement.
A how many samples contain at least 1 red marble.
A bag contains 8 red marbles 5 blue marbles 8 yellow marbles and 6 green marbles.
Trivially then the answer is frac 1 3 since there is one white.
One of them is removed so now there are 17 marbles.
A box contains 8 red marbles 8 green marbles and 10 black marbles.
There s one blue marble.