Two events are independent if the occurrence of one of them does not affect
the likelihood of the other, i.e., does not cause the other event to become
either more likely or less likely.
Two events are dependent if the occurrence of one of them causes the other
to become more likely or less likely.
a. Rolling a 5 and then a 3 on a six sided dice.
I think independent because.....
What was rolled first does not change the likelihood of what will be rolled
second.
b. Randomly pulling a white sock from a drawer that contains both white and
black socks, not replacing it, and then pulling a black sock from the
drawer.
I think dependent because....
After removing the sock, that made it a little less likely that you'd draw
a white one again.
c. Getting a red gumball and then a blue gumball from a gumball machine.
That's dependent because after removing the red from the machine, that made
it a little less likely that you'd draw a red one again, and a little more
likely that you'd draw a blue one.
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d. Pulling a card from a standard deck of 52 cards, not replacing it, and
then pulling another (DIFFERENT) card from the deck.
That's dependent because not replacing it increased to probability to 1
(certainty) that you'll draw another (DIFFERENT) card from the deck.
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e. Pulling a card from a standard deck of 52 cards, replacing it, and then
pulling another card from the deck.
That's dependent because the first time it is certain that you will draw a
card you haven't drawn before (because it's the first time). However since
you replaced it, you might draw it again. So it's a little less likely that
you'll pick a card different from the one you picked the first time.
Edwin
