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SOLUTION

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

STEP 1: Write the formula for Probability

[tex]\text{Probability}=\frac{\text{Number of favourable outcome}}{Total\text{ outcome}}[/tex]

STEP 2: Find the probability

[tex]\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)}=\frac{7}{9} \end{gathered}[/tex]

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

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