Respuesta :
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%. So, this represents a dependent event.
What are independent and dependent events?
- Independent events are the events in which the outcome of one event does not affect the outcome of the other event.
- Dependent events are the events in which the outcome of one event affects the outcome of the other event.
Calculation:
It is given that there are 26 prize tickets in a bowl, labeled A to Z.
There are 5 vowels- A, E, I, O, U
So, the probability of choosing a ticket with a vowel will be - (5/26)
Another ticket with a vowel will be chosen without replacing the first ticket. Then, its probability is (4/25)
So, the required probability is,
(5/26) × (4/25) = 2/65 = 0.031
The event of choosing the first ticket with a vowel effect the event of choosing the second ticket with a vowel and vice-versa. So, this represents dependent events.
Therefore, the probability is 3.1 %.
Learn more about the independent and dependent events of the probability here:
https://brainly.com/question/12138721
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