Thread: Probability, please help

Department Badminton Squash Tennis Others Not Interested Total
Building 56 75 21 35 45 232
Business Studies 76 34 58 21 87 276
Electrical 43 68 34 71 22 238
Electronic 27 54 28 49 39 197
Mechanic 84 59 31 46 31 251
Total 286 290 172 222 224 1194

The students are not allowed to indicate more than One sport.

a) If a student is selected at random, what is the probability that the student
iii) Comes from the Business studies or the Electrical Department

b) If a student is selected at random prefers to play tennis, what is the probability that the student
i) Comes from Mechanical department
ii) Comes from either the building or electrical department

c) Additional information that 45% of the total student population are female and 23% of them are Not Interest
If a student selected at random is known to have been taken part at least 1 sport, what is the probability that the student is Female?

Here is the table for the question above