Probability Equation Questions

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Question 22
Hard

There are n n\,n sweets in a box.

6 of the sweets are strawberry flavor and the rest are lemon flavor.

Liam takes a sweet from the box at random and eats it. He then takes another sweet at random from the box and eats it.

The probability that Liam eats two lemon sweets is 12\displaystyle \frac{1}{2}21​

a.

Show that n2−25n+84=0n^2 - 25n + 84 = 0n2−25n+84=0

[5]
b.

Find the value of nnn.

[2]

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