Probability questions help please

Question

question 1: The following tree diagram illustrates the sample space of the spinner being spun twice. Determine the probability that blue appears on either spin

question 2: The following tree diagram illustrates the sample space of the spinner being spun twice. Determine the probability that different colours appear on the two spins

First spin Second spin

blue 2/5 - blue 2/5, yellow 2/5, green 1/5

yellow 2/5 - blue 2/5, yellow 2/5, green 1/5

green 1/5 - blue 2/5, yellow 2/5, green 1/5

Answer 1

P(Blue₁ and Blue₂) = P(Blue₁)*P(Blue₂) = (2/5)*(2/5) = 4/25

There are 9 possible outcomes, but only 6 outcomes have different colors on both spins. Therefore, P(Different Colors on Both Spins) = 6/9 = 2/3.