Answer:
(a) S = {FFF, FFN, FNN, FNF, NNN, NNF, NFF, NFN}
(b) S(E) = {FFF, FFN, FNF, NFF}
(c) Second river is safe for fishing
Step-by-step explanation:
F = safe to fish
N = not safe to fish
number of rivers sampled = 3
(a) All of the possible outcomes obtained from the samples are listed in the sample space bellow:
S = {FFF, FFN, FNN, FNF, NNN, NNF, NFF, NFN}
(b) If at least two rivers are safe, the sample space for E is all of the events with two or three safe rivers:
S(E) = {FFF, FFN, FNF, NFF}
(c) In the set {FFF, NFF, FFN, NFN}, the second lake sample is safe to fish in all of the elements. The event is: second river is safe for fishing.