Question

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.
`(4)/(9)` B.
`(2)/(3)` C.
`(7)/(9)` D.
`(1)/(3)`

Answer 1

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

Answer 2

Answer is

`(4)/(9)`

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

=
`((2)/(3) )((2)/(3) )\\=(4)/(9)`