A jar contains 12 caramels, 7 mints and 16 dark chocolates. The probability of selecting a dark chocolate, eating it, and then a selecting a caramel is the setup. What is the probability fraction of "selecting a caramel" after selecting a dark chocolate and eating it.

6/17

Step-by-step explanation:

Given the following :

Number of caramel = 12

Number of dark chocolate = 16

Number of mint = 7

probability fraction of "selecting a caramel" after selecting a dark chocolate and eating it.

After eating means : picking without replacement.

Probability = (Number of required outcomes / total possible outcomes)

Total number of items = ( 7 + 12 + 16) = 35

After first picking a dark chocolate and eating it, total number of items left in the jar becomes:

(35 - 1) = 34

Then,

P(picking a caramel) = (number of caramels / total number of items)

P(picking a caramel) = 12 / 34 = 6/17

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

idk

step-by-step explanation:

i don't know