Developing Non-Uniform Probability Models

• Uniform

• Non-Uniform

If you have a long rope and you dye a segment of it, what's the probability you'll grab the dyed part?

• Length of the dyed segment - Length of the entire rope

• Length of the entire rope / Length of the dyed segment

• Length of the dyed segment * Length of the entire rope

• Length of the dyed segment / Length of the entire rope

What's the difference between nonuniform and uniform probability when we talk about how likely something is to happen?

• Nonuniform probability means everything has the same chance of happening, but uniform probability means they don't.

• Nonuniform probability gives different chances to different things, which isn't the case with uniform probability.

• There's no difference in how likely something is to happen whether it's nonuniform or uniform probability.

• Nonuniform probability is only for situations with two possible outcomes, while uniform probability is for situations with many outcomes.

Where do we see uneven chances in real life?

• Tossing a fair six-sided dice

• Picking a card randomly from a well-mixed deck

• Spinning a spinner that has different sized sections

• Giving every team the same chance to win in a sports competition

when all the probabilities in a probability model are not equivalent to each other

• probability model

• uniform probability model

• non-uniform probability model

• tree diagram

a model where each outcome does NOT have the same probability of occurring

• fundamental counting principal

• sample space

• non uniform model

• probability

Does this table of Outcomes have uniform probability or non-uniform probability?

• uniform probability

• non-uniform probability

Which describes a non-uniform probability model?

• selecting a ball from 3 red balls and 3 green balls

• heads or tails from a coin flip

• the sum result of rolling two dice

• the chance of a 1, 2, 3, 4, 5, or 6 from rolling a die

How is a nonuniform probability distribution different from a uniform probability distribution?

• A nonuniform probability distribution gives every outcome the same chance, while a uniform distribution does not.

• In a nonuniform probability distribution, not every outcome has the same chance, unlike in a uniform distribution.

• There's no difference; both types of distributions give every outcome an equal chance.

• Nonuniform distributions are only for thinking exercises, but uniform distributions are used in real life.

Mr. Coffey has a basket full of fruit. Each of the 20 students in his class selects one piece of fruit from the basket without looking and puts it back in the basket. Based on the results shown, what can the students conclude about the probability of selecting an apple?

• There are no apples in the basket.

• There is about a 25% chance a student picks a fruit from the basket.

• It is more likely to pick an apple than it is to pick a pear.

• It is equally likely that a student will pick an apple.