The spinner is divided into equal parts. use a tree diagram to find the probability that the spinner will land on a consonant the first time and a vowel the second time if the spinner is spun twice a: 2/3 b: 2/9 c: 3/4 d: 5/9

In this case, we will first find out the individual probabilities of the events:

Probability (consonant on first spin)  = 1/3 

Probability (vowel on second spin) = 2/3 

Now,
Using the two probabilities we can find out the required probability.

Probability (consonant and vowel) = 1/3 × 2/3 

Probability (consonant and vowel) = 2/9

Therefore,
The best answer choice is:

B: 2/9