A psychologist is carrying out a memory test using three-letter words (either meaningful or not). For the

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A psychologist is carrying out a memory test using three-letter “words” (either meaningful or not). For the first letter, she chooses among the letters G, H, D, L, the second letter can be one of A, O, I, E, while the third can be one of the letters D, X, W, P, R.

(i) What is the total number of three-letter words available for this experiment?

(ii) If all words are equiprobable, what is the probability that the word chosen

(a) begins with G?

(b) ends with either D or X?

(c) begins and ends with the same letter?

(d) includes the letter D?

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