P. Li et al. analyzed existing problems in teaching geography in rural counties in the article "Geography Education in Rural Tennessee Counties" (Geography, Vol. 88, No. 1, pp. 63-74). Fifty-one high-school teachers from the Upper Cumberland Region of Tennessee were surveyed. The following contingency table cross classifies these teachers by highest degree obtained and whether they offered field trips.

a. How many of these teachers offered field trips?
b. How many of these teachers have master's degrees?
c. How many teachers with only bachelor's degrees offered field trips?
d. Describe the events D1 and (D2 & F2) in words.
e. Compute the probability of each event in part (d).

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Field trips Yes No Fi F2Total Bachelor's 28 14 14 Di Master's D2 Total 18 5 23 32 19 51