D = 8cm H=8cm - Gauthmath

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Question

A spinner contains four equally shaded areas, as shown Louise spins the spinner twice. Which probabilities are below. correct? Check all that apply. P(both green) = 1/16 P(both blue) = 1/4 P(first green and then blue) = 1/6 P(first orange and then blue) = 1/8 P(first orange and then green) = 1/4 SHOW LESS0

Solution

user avatar imageAnswerOptions 1, 2, 4ExplanationStep 1: Calculate the probability of both spins being green. - The probability of one spin being green is \( \frac{1}{4} \). - The probability of the second spin being green is also \( \frac{1}{4} \). - The combined probability of both spins being green is \( \left(\frac{1}{4}\right) \times \left(\frac{1}{4}\right) = \frac{1}{16} \). Step 2: Calculate the probability of both spins being blue. - The probability of one spin being blue is \( \frac{2}{4} = \frac{1}{2} \). - The probability of the second spin being blue is also \( \frac{2}{4} = \frac{1}{2} \). - The combined probability of both spins being blue is \( \left(\frac{1}{2}\right) \times \left(\frac{1}{2}\right) = \frac{1}{4} \). Step 3: Calculate the probability of first green and then blue. - The probability of the first spin being green is \( \frac{1}{4} \). - The probability of the second spin being blue is \( \frac{2}{4} = \frac{1}{2} \). - The combined probability of first green and then blue is \( \left(\frac{1}{4}\right) \times \left(\frac{1}{2}\right) = \frac{1}{8} \). Step 4: Calculate the probability of first orange and then blue. - The probability of the first spin being orange is \( \frac{1}{4} \). - The probability of the second spin being blue is \( \frac{2}{4} = \frac{1}{2} \). - The combined probability of first orange and then blue is \( \left(\frac{1}{4}\right) \times \left(\frac{1}{2}\right) = \frac{1}{8} \). Step 5: Calculate the probability of first orange and then green. - The probability of the first spin being orange is \( \frac{1}{4} \). - The probability of the second spin being green is \( \frac{1}{4} \). - The combined probability of first orange and then green is \( \left(\frac{1}{4}\right) \times \left(\frac{1}{4}\right) = \frac{1}{16} \). Options 1, 2, and 4 are correct.Click to rate:16.7(12 votes)Search questionBy textBy image/screenshotDrop your file here orClick Hereto upload

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