The following data are the result of a survey conducted by a marketing company to determine beer preferences. A respondent is selected at random. Find the probability that (1) the respondent is male, given that the respondent prefers regular beer and (2) the respondent is female given that the respondent prefers regular beer or does not drink beer.

Don't drink Beer N Prefer Light Beer L Prefer Regular Beer R Total

Female, F 224 420 622 1266
Male, M 196 512 484 1192
Total 420 932 1106 2458

Question

The following data are the result of a survey conducted by a marketing company to determine beer preferences.  A respondent is selected at random.  Find the probability that (1) the respondent is male, given that the respondent prefers regular beer and (2) the respondent is female given that the respondent prefers regular beer or does not drink beer. 

Don't drink Beer N	Prefer Light Beer L	Prefer Regular Beer R	Total

Female, F	224	420	622	1266
Male, M	196	512	484	1192
Total	      420	932	1106  2458