Answer:
45.45%
Step-by-step explanation:
Given:
British spelling as "rigour"
here Probability of selecting vowel , P(V/B) =
or
Probability of selecting vowel , P(V/B) = = 0.5
and,
American spelling as "rigor"
here Probability of selecting vowel , P(V/A) =
or
Probability of selecting vowel , P(V/A) = = 0.4
Probability of English-speaking men at hotel are British P(B) = 40% = 0.4
Probability of English-speaking men at hotel are American P(A) = 60% = 0.6
Now using Baye's theorem
the probability that the writer is British P(B/V) =
or
the probability that the writer is British P(B/V) =
or
the probability that the writer is British P(B/V) =
or
the probability that the writer is British P(B/V) = 0.4545 = 45.45%