Answer:
0.2915
Step-by-step explanation:
Let W represent water and D represent Dying probability
W = water
D = die
->If with water, it will die with probability 0.4
P(W & D) = 0.82 x 0.4 = 0.328
->Without water the plant will die with probability 0.75
P(W ' & D) = 0.18 x 0.75 = 0.135
Taking sum of the above values with water and without water.
P(D) = P(W & D) + P(W ' & D) = 0.4643
P(W ' | D) = P(W ' & D) / P(D)
= 0.135 /0.463
= 0.2915 ≈ 29.15%
Thus, the probability the neighbor forgot to water is 0.2915