Okay, let's solve this problem step-by-step:
There are 5 vowels in the English alphabet: A, E, I, O, U
Out of the options:
two eighths = 2/8 = 1/4
six eighths = 6/8 = 3/4
two sevenths = 2/7 = 2/7
six-sevenths = 6/7 = 6/7
To calculate the probability of randomly drawing a vowel:
Probability = (number of favourable outcomes) / (total possible outcomes)
For 2/8:
Total possible outcomes = 8
Favourable outcomes (drawing a vowel) = 5
So 2/8 = 1/4 = 0.25
* For 6/8:
Total possible outcomes = 8
Favourable outcomes (drawing a vowel) = 5
So 6/8 = 3/4 = 0.75
* For 2/7:
Total possible outcomes = 7
Favourable outcomes (drawing a vowel) = 5
So 2/7 = 5/7 = 0.714
* For 6/7:
Total possible outcomes = 7
Favourable outcomes (drawing a vowel) = 5
So 6/7 = 5/7 = 0.714
In summary, the probabilities are:
two eighths = 0.25
six eighths = 0.75
two sevenths = 0.714
six-sevenths = 0.714
Therefore, the options with the highest probability of randomly drawing a vowel are:
six eight and
two sevenths and
six-sevenths. They both have a probability of 0.714.