Question

Lisa owns a "Random Candy" vending machine, which is a machine that picks a candy out of an assortment in a random fashion. Lisa controls the probability of picking each candy. The machine has too much of the candy "Coffee Toffee," so Lisa wants to program it so that the probability of getting "Coffee Toffee" twice in a row is greater than \dfrac{4}{3} 3 4 ​ start fraction, 4, divided by, 3, end fraction times the probability of getting a different candy in one try. Write an inequality that models the situation. Use ppp to represent the probability of getting "Coffee Toffee" in one try.

Answer 1

Explanation:

Answer 2

p² > 4/3(1 -p)

Explanation:

Assuming candy selections are independent from one to the next, the probability of getting Coffee Toffee twice in a row will be p². The probability of getting some other selection than Coffee Toffee will be 1-p.

Lisa wants ...

p² > (4/3)(1 -p)

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This has solution p > 2/3.