Question

give the probability that the spinner shown would land on (a) red, (b) yellow, and (c) green. assume all sectors of the spinner are the same size. (a) the probability that the spinner shown would land on red is \boxed{}. (type an integer or a simplified fraction.)

Explanation:

Step1: Count total sectors

The spinner has 6 equal - sized sectors (4 red + 2 green, and 0 yellow).

Step2: Count red sectors

There are 4 red sectors.

Step3: Calculate probability

The probability of landing on red is the number of red sectors divided by the total number of sectors. So, the probability $P(\text{red})=\frac{\text{Number of red sectors}}{\text{Total number of sectors}}=\frac{4}{6}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$