A fair spinner has 9 equal sections: 2 red, 3 blue and 4 green. It is spun twice.
What is the probability of not getting two consecutive blues?

8/9 or 88.89%

Step-by-step explanation:

Spinner has a total of 9 sections.

These sections are;

2 red, 3 blue and 4 green.

Now, probability of getting blue at one spin = 3/9 = 1/3

Probability of getting 2 consecutive blues = ⅓ × ⅓ = 1/9

Probability of not getting 2 consecutive blues = 1 - probability of getting 2 consecutive blues = 1 - 1/9 = 8/9 or in percentage 8/9 × 100% = 88.89%

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

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