As mentioned in Exercise 4.52, a July 21 survey on www.HuffingtonPost.com asked people to choose their favorite junk food from a list of choices. Although the results were not broken down by gender, suppose that the following table represents the results for the 8002 people who responded, assuming that there were 4801 females and 3201 males included in the survey.

Suppose that one person is selected at random from this sample of 8002 respondents. Find the following probabilities.
a. Probability of the union of events female and chocolate.
b. Probability of the union of events male and cake.

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lce cream Fast food Cookies Chips Cake Pizza Favorite Junk Food Chocolate Sugary candy Female 1518 218 685 312 431 458 387 792 Male 531 127 586 463 649 103 523