SOLUTION: Guests of a fancy dinner party were asked if they were prefer the steak dinner or the lobster dinner, and if they would prefer to sit inside or outside. The results from their resp

Question 1176887: Guests of a fancy dinner party were asked if they were prefer the steak dinner or the lobster dinner, and if they would prefer to sit inside or outside. The results from their responses are below.
Steak Lobster Total
Inside 28 21 49
Outside 10 29 39
Total 38 50
For each of the following questions, find the probabilities. Either enter your answers as fractions or round decimals to 4 places.
What is the probability that a guest selected at random requested to sit inside?
What is the probability that a guest selected at random ordered steak and requested to sit inside?
What is the probability that a guest selected at random ordered steak or requested to sit inside?
Given that a guest requested to sit inside, what the probability that they ordered steak?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Steak Lobster Total
Inside 28 21 49
Outside 10 29 39
Total 38 50 88
a. this is asking one thing so it is a row total over a column total 49/88=0.5568
b. this is a junction of a row and column divided by the total of 88, so 28/88=0.3182
c. this is sum of row and column minus where they join, which is double counted: 59/88=0.6705
d. this is column in denominator with one cell in numerator or 28/49=0.5714
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