Question: please show all work If you are British, you write the word colour and if you are American you write color. Suppose we have a

please show all work

If you are British, you write the word "colour" and if you are American you write "color". Suppose we have a guest staying at a hotel in Warsaw who writes this word, and a letter is randomly selected and found to be a vowel. Suppose that the English-speaking guests at the hotel are 60% American and 40% British. What is the probability that the person who wrote the word is British?

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