The probability that a prize ticket with a vowel will be chosen, not replaced, and then another prize ticket with a vowel will be chosen is 0.031 or 3.1%. The events are dependent events.
Given that there are five vowels, which come from the letters A, E, I, O, and U, the likelihood of drawing a vowel is:
5/26
since there are a total of 26 alternatives available. After choosing that, we are left with 25 alternatives, 4 of which are vowels, thus the probability is:
4/25
The final likelihood is thus:
5/26 * (4/25) = 0.031
In other words, the likelihood is 3.1% when choosing a vowel and then another (without replacement).
The first event has an impact on the second event since there are fewer vowels and overall possibilities, hence the events are dependent.
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