In the figure, the slope of mid-segment DE is -0.4. The slope of segment AC is 0.4 -0.4 2 -2 .
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To draw a heart, one would be choosing 1 card of 13 possible hearts, and 0 from the remaining 39 non-hearts. With respect to the entire deck, one would be choosing 1 card from 52 total cards. So the probability of drawing a heart is
When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same,
. In other words, drawing a spade is independent of having drawn the heart first.
So the probability of drawing a heart, replacing it, then drawing a spade is
.
When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same,
So the probability of drawing a heart, replacing it, then drawing a spade is