Answer:
<u>Step-by-step explanation:</u>
<u> -3x² + 29x - 150 </u>
x³ + 6x² - 3x - 5) -3x⁵ + 11x⁴ + 33x³ - 26x² - 36x - 6
-<u>(-3x⁵ - 18x⁴ + 9x³ + 15x²)</u> ↓ ↓
29x⁴ + 24x³ - 41x² - 36x ↓
-<u>(29x⁴ - 174x³ - 87x² - 145x</u> ↓
-150x³ + 46x² + 109x - 6
-<u>(-150x³ - 900x²+450x+750)</u>
946x² - 341x - 756
The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order is 0.2917.
<h3>What is Probability?</h3>Probability helps us to know the chances of an event occurring.
A.) The probability that she will NOT randomly take out two oranges in a row,
Probability = 1 - (5/12)² = 0.8264
B.) The probability that she will NOT randomly take out two grapefruits in a row,
Probability = 1 - (4/12)² = 0.8264 = 0.8889
C.) The probability that she will NOT randomly take out two apples in a row,
Probability = 1 - (3/12)² = 0.8264 = 0.9375
D.) The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order,
Probability = (7/12) × (9/12) × (8/12) = 0.2917
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