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A group of people was asked "What is your favorite soda?" The results are given in...

A group of people was asked "What is your favorite soda?" The results are given in the table below.

Coke Pepsi Dr. Pepper 7-Up Mountain Dew Other Total

Male
165 138 95 47 73 124 642
Female 192 103 98 69 36 169 667
Total 357 241 193 116 109 293 1309

1. If person is selected at random from this group, what is the probability that the person is male given the person's favorite soda is Mountain Dew?

2. If person is selected at random from this group, what is the probability that the person's favorite soda is Mountain Dew given that the person is male?

3. A picnic basket contains 6 ham and cheese sandwiches and 4 tuna fish sandwiches. If 3 of these sandwiches are selected at random, what is the probability that they are all ham and cheese sandwiches?

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