Simulation to Model Chance

• 1/4
• 1/8
• 1/2
• 1/6

You roll a six sided die. What is the probability of rolling an even number three times in a row? 

• 3/100

• 1/2

• 1/6

• 1/8

It provides a probability for each possible non-overlapping outcome for a change process so that the total probability over all such outcomes is unity.

• Experimental Probability

• Independent Events

• Probability Model

• Sample Space

The likelihood (chance) that something will happen

• Probability

• Compound Event

• Event

• Mutually Exclusive

An experiment that models a real-world situation is called a

• random experiment

• sample event

• complementary event

• simulation

The ratio of the number times an event occurs to the total number of trials performed is known as

• theoretical probability

• experimental probability

• uniform probability

• non-uniform probability

Jacob has decided to guess on each question of a multiple-choice test. For each question, he has a 25% chance of getting it correct. The test has a total of 8 questions. In designing a simulation to estimate the number of questions Jacob will answer correctly, which of the following number assignments best simulates the real-world probabilities?

• 1-100

  1-50 -> Correct

  51-100 -> Wrong

• 1-10

  1 -> Correct

  2-10 -> Wrong

• 1-2

  1 -> Correct

  2 -> Wrong

• 1-4

  1 -> Correct

  2-4 -> Wrong

Ms. Janice is running a simulation of selecting 3 students from her class of 25 students, to send to the office to pick up some papers. #1-14 represent the female students and #15-25 represent the male students. What should Janice do if her simulation give her two of the same number?

• She should ignore repeats and select numbers until she gets 3 unique numbers

• Repeats are fine, she will select two students of the same gender

• She should select random values until she gets her first repeat and then end the trial

• She should ignore repeats and select only the number of kids that match up to the number of unique numbers

Snap Krak Cereal advertises that you get a ball point pen with every box of cereal you buy. There are six different colored pens in all. You want to know how many boxes of cereal you would expect to buy, on the average, to get the complete set of pens if the chances of getting each of the pens are the same. To build a simulation, how would you use random numbers to model the component using a TI-84?

• 1-6= pens, 7-100=no pens

• 1-6= colors of the pens

• 1-100= colors of the pens

• 1-10 = colors of the pens