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Answer :
Final answer:
The probability of drawing a vowel and then a 'K' from the word BELLWORK is 1/36. None of the provided answer choices match this probability, indicating an error in the options.
Explanation:
The probability of drawing a vowel and then a 'K' from the word BELLWORK is 1/36. None of the provided answer choices match this probability, indicating an error in the options.
To solve the problem, we need to find the probability that a vowel is drawn first and then a letter 'K' from the word BELLWORK. There are 2 vowels (E and O) and 1 'K' in BELLWORK for a total of 9 letters. To draw a vowel first, the probability is 2/9 (since there are 2 vowels out of 9 letters). Once a vowel is drawn, there are 8 letters left, and the probability of drawing a 'K' next is 1/8 (since there is only one 'K'). The events are dependent because the second event depends on the outcome of the first. Therefore, the combined probability of these two events is calculated by multiplying the probabilities: 2/9 * 1/8 which simplifies to 1/36.
To find the corresponding answer choice, we need to convert 1/36 to a recognizable form. None of the given answer choices (A: 3, B: 360, C: 1/28, D: 180, E: 3.50, F: 1/5) show the fraction 1/36, which implies there might be an error in the provided options. Hence, the correct answer, which is not listed in the options provided, is the probability 1/36.
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