1. Give answers to the following questions with proper working; (A) If you have a bicycle, motorcycle, motorcar, public wagon: and you have been given a urgent task to do and you are not able to go on foot. You have to choose one machine from above mentioned. What is the probability that: (i) You go on bicycle. (ii) You do not go on bicycle. (iii) You go on motorcar or public wagon. (B) There are 10 coins of Rs. 1, 20 coins of Rs. 2 and 5 coins of Rs. 5 in a bag. What is the probability of selecting the coins from bag of Rs. 5 if the coins are selected at random? (C) Given that Event-A and Event-B are independent events such that P(A) = 0.3, P(B) = 0.6, Then compute the following probabilities: (i) P(A B), (ii) P(A B), (iii) P(A B ), (iv) P(A B ), (v) P(B/A). (D) In a University Class of 100 students, 45 studied Business Mathematics, 69 studied Business Statistics and 32 studied in both Business Mathematics and Business Statistics. If one of these students is selected at random, What is the probability that: (i) The selected student studied Business Mathematics or Business Statistics. (ii) The selected student studied either of these subjects. (iii) The selected student studied Business Mathematics but not Business Statistics. (E )The probability that a man will alive in 25 years is 3/5 and the probability that his wife will alive in 25 years is 2/3. What is the probability that: (i) Both will be alive. (ii) Only the man will be alive. (iii) Only the wife will be alive. (iv) At least one will be alive. (v) Neither will be alive