azul spun a tri - color spinner twice. what is the probability that the spinner landed on the colors blue…

azul spun a tri - color spinner twice. what is the probability that the spinner landed on the colors blue and green in any order? bb, bg, by, gb, gg, gy, yb, yg, yy

azul spun a tri - color spinner twice. what is the probability that the spinner landed on the colors blue and green in any order? bb, bg, by, gb, gg, gy, yb, yg, yy

Answer

Explanation:

Step1: Find total number of outcomes

The spinner has 3 colors and is spun 2 times. By the fundamental - counting principle, the total number of outcomes is $3\times3 = 9$ (as shown in the list BB, BG, BY, GB, GG, GY, YB, YG, YY).

Step2: Identify favorable outcomes

The favorable outcomes (landing on blue and green in any order) are BG and GB. So there are 2 favorable outcomes.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{2}{9}$.

Answer:

$\frac{2}{9}$