Mark B. answered • 12/06/17
Tutor
New to Wyzant
PhD Candidate in Psychology: Experienced Math, Statistics, Tutor
Hello Nicole,
To determine the probability let's think about this for a moment, shall we?
There are a total of 3 marbles in bag one, correct?
There are a total of 5 marbles in bag two, correct?
There are a total of 2 marbles in bag three, correct?
Since each marble pull is independent (mutually exclusive and has nothing to do with the other events) then it is a matter of looking at each event separately and multiplying the probabilities of all three events, okay?
In bag one : 2/3 <--------------------Two yellow marbles out of three. Therefore, Sally has a 2 out of 3 chance.
In bag two: 1/5 <--------------------One yellow marble out of five. Therefore, Sally has a 1 out of 5 chance.
In bag three: 1/2 <--------------------One yellow out of two. Therefore, Sally has a 1 out of 2 chance.
Again Nicole: These are independent events. Sally picking a yellow marble from the first bag in no way effects her future probability of picking a yellow marble from the second bag, and further, her picking a yellow from the second bag in no way effects the future probability of her picking a yellow from the third bag. This is a very important concept to understand in probability which is why I placed this information here in bold.
Therefore:
2/3 x 1/5 x 1/2 = the probability Sally will draw a yellow marble out of each of the three bags or in the three events.
Therefore:
2/3 x 1/5 = 2/15
2/15 x 1/2 = 2/30 or 1/15
Now, if this sounds like it is a good probability consider the following: You divide the 1 by 15 to determine the actual percentage of probability.
Doing that, shows you the probability in percent is 0.0666 or 0.07%
Your teacher or professor may want the probability in fraction or percentage form: Fraction is 1.5 Percentage is 0.07%
I hope I have helped you understand and hope you will let me know by following up. If I may assist further, let me know.
To determine the probability let's think about this for a moment, shall we?
There are a total of 3 marbles in bag one, correct?
There are a total of 5 marbles in bag two, correct?
There are a total of 2 marbles in bag three, correct?
Since each marble pull is independent (mutually exclusive and has nothing to do with the other events) then it is a matter of looking at each event separately and multiplying the probabilities of all three events, okay?
In bag one : 2/3 <--------------------Two yellow marbles out of three. Therefore, Sally has a 2 out of 3 chance.
In bag two: 1/5 <--------------------One yellow marble out of five. Therefore, Sally has a 1 out of 5 chance.
In bag three: 1/2 <--------------------One yellow out of two. Therefore, Sally has a 1 out of 2 chance.
Again Nicole: These are independent events. Sally picking a yellow marble from the first bag in no way effects her future probability of picking a yellow marble from the second bag, and further, her picking a yellow from the second bag in no way effects the future probability of her picking a yellow from the third bag. This is a very important concept to understand in probability which is why I placed this information here in bold.
Therefore:
2/3 x 1/5 x 1/2 = the probability Sally will draw a yellow marble out of each of the three bags or in the three events.
Therefore:
2/3 x 1/5 = 2/15
2/15 x 1/2 = 2/30 or 1/15
Now, if this sounds like it is a good probability consider the following: You divide the 1 by 15 to determine the actual percentage of probability.
Doing that, shows you the probability in percent is 0.0666 or 0.07%
Your teacher or professor may want the probability in fraction or percentage form: Fraction is 1.5 Percentage is 0.07%
I hope I have helped you understand and hope you will let me know by following up. If I may assist further, let me know.
