Question 86635
Problem #1
A marble is drawn from a box containing 3 yellow, 4 white, and 8 blue marbles. Find the odds in favor of drawing the following.
a. A yellow marble 
P(yellow) = 3/15; P(not yellow)= 12/15;
Odds in favor of yellow = [3/15]/[12/15] = 3:12
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b. A blue marble 
P(blue) = 8/15; P(not blue)=7/15; 
Odds in favor of blue = [8/15]/[7/15]= 8:7
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c. A white marble
Odds in favor of white = 4:11
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Problem #2
. Body Types A study on body types gave the following
results: 45% were short; 25% were short and overweight;
and 24% were tall and not overweight. Find the probabilities
that a person is the following.
Draw a contingency table with rows "short" and "tall" 
and with columns "over weight" and "not over weight".
Enter the given data in the proper boxes or at the sum of row or column.
Fill in the empty boxes so the row and column sums are proper.
Then:
a. P(Overweight) = P(short and over) + P(tall and over) = 0.25+0.31= 0.56
b. P(Short, but not overweight) = 0.20
c. P(Tall and overweight) = 0.31
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Cheers,
Stan H.