Question 133830: Which are dependent events?
A. Flipping a penny and a dime
B. Spinning a spinner twice
C. Drawing a card, another card without replacement
D. Drawing a card, replacing it, drawing another card
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! The result of flipping the penny has nothing whatever to do with, nor is it affected by, the result of flipping the dime, and vice versa. Independent.
The result of spinning the spinner the second time is not affected by the result of spinning it the first time. That is, the probability of any possible outcome is equal to any other possible outcome no matter what the result of the first spin was. Independent.
Drawing a card WITHOUT replacement. Here the result of the second draw is affected by the result of the first draw. For example, the probability of drawing the 3 of hearts on the first draw from a standard deck of 52 is 1/52 because there are 52 possibilities only 1 of which would be considered a successful trial. If you were successful on the first draw, namely you actually did draw the 3 of hearts, the probability of drawing the 3 of hearts on the second draw would be 0 because the 3 of hearts is no longer in the deck. On the other hand, if you did not draw the 3 of hearts on the first draw, the probability of drawing it on the second would change to 1/51 because there are 1 fewer possibilities. Dependent.
Drawing a card WITH replacement. If you replace the card drawn then the second draw outcome is not affected by the first draw. Every card is an equally likely possibility on either draw. Independent.
Answer C. Final Answer, Regis
Hope this helps,
John
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