18 owned tents, 15 owned sleeping bags, 14 owned camping stoves, 6 owned both tents and camping stoves, and 10 owned both sleeping bags and camping stoves:
a. What is the probability of owning a tent, owning a camping stove, owning a sleeping bag, camping stove, and owning both a sleeping bag and a camping stove?
b. What is the probability of owning a tent or a camping stove?
c. What is the probability of owning neither a camping stove or a tent
d. Given a person questioned owns a tent, what is the probability he also owns a camping stove?
e. Are the events of owning a tent and owning a camping stove mutually exclusive? Explain briefly?
f. Are the events of owning a sleeping bag and owning a camping stove independent? Explain Briefly?
g. If four people questioned owned a tent, a sleeping bag, and a camping stove, then up to how many can own only a camping stove?
The solution provides step by step method for the calculation of probability . Formula for the calculation and Interpretations of the results are also included.