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The spinner is divided into equal parts. Use a tree diagram to find the probability that the spinner will land on a vowel both times, if the spinner is spun twice.
A. [tex] \frac{4}{9} [/tex] B. [tex] \frac{2}{3} [/tex] C. [tex] \frac{7}{9} [/tex] D. [tex] \frac{1}{3} [/tex]

The spinner is divided into equal parts Use a tree diagram to find the probability that the spinner will land on a vowel both times if the spinner is spun twice class=

Respuesta :

Well, for anyone else looking at this problem... The answer is A!

Answer:

Answer is

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

Given is a spinner which is divided into equal parts of three.

One part has E, next part has U and third part has N.

Vowels are E, U comprising 2/3 of the area of the circle.

Tree diagram would be

I spin .... prob 2/3 ...landing on vowel .... ii spin ... prob 2/3 ... landing on a vowel

Hence required probability = product of two probabilities

=[tex](\frac{2}{3} )(\frac{2}{3} )\\=\frac{4}{9}[/tex]

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