Elaine is taking a test that has multiple choice questions, each with 4 answer choices. she comes to a question for which she does not know the awnser. if she can rule out three of the choices as wrong, by how much does she improve her probability of guessing correct awnser?

Assuming There is ONLY ONE CORRECT ANSWER,

The probability of her guessing the answer without ruling out the choices is 1/5.

if 3 choices are ruled out, then 1 out of the remaining two is right, which gives the probability 1/2

now, 1/5 = 20% , while 1/2 = 50%.

Therefore her probability of getting the correct answer improves by 30% [ not much in a REAL test though :P ]

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.