Question

(b) Emma chose one word, at random, from the 25 words. Find the probability that this word had (i) 5 or 6 letters, (ii) fewer than 9 letters.

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Answer 1

Answer:

fewer than 9 letters .

Step-by-step explanation:

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Answer 2

Let Σ=a,e,f,g,i. Find the probability that a randomly selected 5-letter word will use all three vowels a,e,i. Completely stumped on how to proceed. I'm thinking it may be easier if I find all the words that do NOT use any vowels.

Would it be 5 choose 3 ∗3∗3 / 55?

Take the total number of words, which is 55

Exclude the number of words that do not contain a, which is 45

Exclude the number of words that do not contain e, which is 45

Exclude the number of words that do not contain i, which is 45

Include the number of words that do not contain a or e, which is 35

Include the number of words that do not contain a or i, which is 35

Include the number of words that do not contain e or i, which is 35

Exclude the number of words that do not contain a or e or i, which is 25