Write the probability as a fraction in simplest form a decimal and a percent.
There are seven black marbles and nine white marbles.
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What is the approximate probability of drawing two black marbles and then.
So that s my bag and we re going to assume that it s a transparent bag so it looks like a.
A bag contains five yellow marbles nine red marbles three blue marbles six white marbles and seven black marbles.
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 could be anywhere between zero and 100 black marbles and the appropriate number of white marbles to make up the balance.
One of them is removed so now there are 17 marbles.
This is our denominator.
There are seven black marbles and nine white marbles in a bag.
There are 35 marbles in a bag.
So let s draw this bag here.
On the first you have 10 16 chances to draw a red.
What is the theoretical probability of pulling a red marble from the bag.
Total number of marbles 16 total number of black marbles 7 total number of white marbles 9 probability of drawing a black marble on first 7 16 probability of drawing a black marble on second draw 6 15 probability of drawing a white marble on the 3rd draw 9 14.
You draw ten marbles out as before and this time you get seven black and three white.
This second urn also contains 100 marbles that are either black or white but you do not know their breakdown.
Call it the second marble.
There are 18 marbles in total.
Take out a marble.
What is the probability of randomly selecting a non blue marble from of the bag.
A is simply a set of sequential events.
Supposing this red is not replaced the chance of drawing a second red will be 9 15.
So we have a bag with 9 red marbles 2 blue marbles and 3 green marbles in it.
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.
Therefore the probability of a is 10 16 9 15 0 375.
The probability of drawing to marbles then a white one without replacement will be as follows.
P r r 9 20 9 20 81 400 2025.
Trivially then the answer is frac 1 3 since there is one white.