There are 6 orange sweets and n total sweets in a bag. The probability of picking two sweets one at a time randomly and both being orange is 1/3. Show that n^2 - n - 90 = 0

Don't panic, focus on what you do know.You know 6/n * 5/(n-1) = 1/3or 30/(n^2-n) = 1/3simplify this to reach the target expression.

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Answered by Hussain A. Maths tutor

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There are n sweets in a bag. 6 are Orange, the rest are Yellow. Hannah takes a sweet out of the bag, and eats it, she does this twice. The Probability of Hannah eating two orange sweets is 1/3. Show that n^2 - n - 90 =0, and solve to find the value of n.


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