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 (type an integer or a simplified fraction.)

Explanation:

Step1: Determine total number of sectors

The spinner is divided into 6 equal - sized sectors.

Step2: Determine number of red sectors

There are 5 red sectors.

Step3: Calculate probability of landing on red

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So the probability of landing on red is $P(\text{red})=\frac{5}{6}$.

Step4: Determine number of yellow sectors

There is 1 yellow sector.

Step5: Calculate probability of landing on yellow

$P(\text{yellow})=\frac{1}{6}$.

Step6: Determine number of green sectors

There are 0 green sectors.

Step7: Calculate probability of landing on green

$P(\text{green})=\frac{0}{6} = 0$.

Answer:

(a) $\frac{5}{6}$
(b) $\frac{1}{6}$
(c) $0$