Question

A certain spinner has equally sized slices the odds in favor of landing on a green slice are 7:2 what is the probability of landing on a green slice

Answer 1

Given the question in the image, the following are the solution steps to get the probability required

STEP 1: Write the formula for Probability

`\text{Probability}=\frac{\text{Number of favourable outcome}}{Total\text{ outcome}}`

STEP 2: Find the probability

`\begin{gathered} \text{Total outcomes=Total slices=7+2=9} \\ \text{Odds in favour of landing on a gr}een\text{ slice is 7:2}, \\ \text{This implies that the odds of landing on a gre}en\text{ slice is 7 chances out of 9} \\ \text{The probability of landing on a gr}een\text{ slice using the formula in step 1 becomes;} \\ Pr(\text{green)}=(7)/(9) \end{gathered}`

Hence, the probability of landing on a green slice is 7/9