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A jar contains 4 black marbles and 3 red marbles. Two marbles are drawn without replacement.
1) Find probability for selecting a black marble and then another black marble.
2) Find the probability for selecting a red marble and then a black marble.
Let me see.
Part 1
A = probability of selecting a black marble.
B = probability of selecting another black marble.
P(A) = 4/7
P(B|A) = 3/6
P(A n B) = P(A) • P(B|A)
P(A n B) = (4/7) • (3/6)
Part 2
A = probability of selecting a red marble.
B = probability of selecting a black marble.
P(A) = 3/7
P(B|A) = 4/6
P(A n B) = (3/7) • (4/6)
Is this right?
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Yep looks right
"The most incomprehensible thing about the world is that it is comprehensible." -Albert Einstein.
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Yep looks right
My thoughts on probability:
1. Problems are fuzzy not tricky.
2. I don't know how to create a tree diagram.
Can you show me a simple example leading to a simple tree diagram?
3. I think probability should be a separate course. I don't see the connection to statistics.
4. Can you recommend a good textbook to learn basic probability?
5. I know the actuary math state exam is probably the BAR EXAM for those stepping into this field. In my opinion, what makes this exam really difficult is the probability section of the test. You say?
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Mathisfun has a page on tree diagrams: https://www.mathsisfun.com/data/probability-tree-diagrams.html
I would say flipping a coin three times yields a simple tree, of independent events.
I don't know a specific book to recommend, sorry. Maybe someone else does. Your guess would be as good as mine; but there must be many suitable books.
"The most incomprehensible thing about the world is that it is comprehensible." -Albert Einstein.
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Mathisfun has a page on tree diagrams: https://www.mathsisfun.com/data/probability-tree-diagrams.html
I would say flipping a coin three times yields a simple tree, of independent events.
I don't know a specific book to recommend, sorry. Maybe someone else does. Your guess would be as good as mine; but there must be many suitable books.
Ok. I will search for a book online.
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