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A science educator is teaching about geometric shapes and asks students to find the area of a triangle with a base of 10 cm and a height of 6 cm. Use the formula for the area of a triangle.

Thus, the probability is given by the ratio of these areas:

Therefore, the conditional probability is:

We model each days flight pattern as an independent roll of a fair 6-sided die. We want the probability that exactly two distinct values appear in three rolls.

Step 2: For each such pair, count the number of sequences of length 3 using exactly these two values, not all the same.

Number of favorable outcomes: choose 2 lavender from 5 and 2 sunflowers from 4:

Solution: To solve this, first compute each square and sum them:

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