John Travis
Mississippi College
MATH 353  Introduction to Mathematical Probability and Statistics
Textbook: Tanis and Hogg, A Brief Course in Mathematical Statistics
Conditional vs independent events
Consider the full standard deck of 52 cards as a collection of ordered pairs (face,suit)
Consider the full standard deck of 52 cards as a collection of ordered pairs (face,suit)

Let's consider the difference between picking two cards with replacement vs picking two cards without replacement.
Conditional Events  successively deal 5 cards w/o replacement
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Notice that the probability changes of getting a card from a given suit changes as progressive hands are dealt if the cards are not replaced before redealing.
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The stuff below is just playing around with sampling. Don't bother with this right now.
Events are independent provided the occurance of a first event does not likelihood of a subsequent event.
Create an interact which picks random integers from 1 to 10 and then picks another random number from 1 to 10.
Two cases:
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Click to the left again to hide and once more to show the dynamic interactive window 
