My mother is a very active woman. On any given day there is a 75% chance she will jog, a 20% chance that she will play golf and a 30% chance that she will pickle ball. She never plays pickle ball on the same day she plays golf. There is a 5% chance that she will jog and play pickle ball and a 15% chance that she will jog and play golf. 

a. What is the probability that on any given day she will only jog ? 

b. What is the probability that on any given day she will only play golf? 

c. What is the probability that on any given day she will only play pickle ball? 

d. What is the probability that she will not engage in any of the three activities mentioned? 

e. What is he probability that that she will jog or play golf? 

f. What is the probability she does not play pickle ball and she does not play golf?