2 a bag contains seven red.
Compound probability marbles.
In the context of probability theory we use set notation to specify compound events.
This video explains how to find the compound probability of two dependent events.
1 a bag contains six red marbles and eight blue marbles.
So the probability of getting a red marble now is 2 9.
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The probability of the second outcome is still with six marbles.
Let a blue marble chosen 1st and b yellow marble chosen 2nd.
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We first find the probability that the first marble is red.
After you get a red marble and don t put it back the bag now has one red marble less.
Without replacement the total number of outcomes decreases after each drawing.
Two marbles are randomly drawn from a bag containing 3 purple 1 blue and 1 yellow marble.
Both marbles are red.
For example we can represent the event roll an even number by the set 2 4 6.
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The first marble is blue and is not replaced.
You randomly pick a marble and then pick a second marble without returning the marbles to the bag.
This example talks about drawing marbles out of a bag.
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Find the probability of the first marble being green and the second marble being yellow.
Find the probability of drawing a blue marble and then drawing a yellow marble.
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Find the probability of drawing a second marble that is purple.
A bowl contains 12 red marbles 5 blue marbles and 13 yellow marbles.
The probability of a compound event is the ratio of favorable outcomes to total outcomes in the sample space for which the compound events happen.
That is simply 3 10 since there are two red marbles and ten in all.
Remember that you can use sample spaces tree diagrams tables and.
The probability of compound events without replacement in the second video we are going to work with the probability of compound events without replacement.