Understanding Probability Through Practical Examples

What is a sample space in probability?

• The outcome with the highest probability

• A list of all possible outcomes of an event

• The space where samples are collected

• A type of diagram used to predict outcomes

What does a tree diagram represent in probability?

• All possible outcomes of sequential events

• The growth pattern of a tree

• The decision-making process

• A graphical representation of data

How is experimental probability calculated?

• Number of trials divided by number of successes

• Favorable outcomes divided by possible outcomes

• Total outcomes divided by favorable outcomes

• Number of times an event occurred divided by total trials

If a neighborhood survey showed 6 out of 30 homeowners had fiber internet, how many out of 510 would you expect to have it?

• 120

• 102

• 85

• 150

What is the theoretical probability?

• Predicting outcomes based on past events

• Calculating outcomes based on all possible events

• A hypothesis about future events

• The likelihood of an event occurring in practice

What is the probability of drawing a blue or yellow tile from a bag containing 20 tiles, 120 times?

• 75 times

• 54 times

• 45 times

• 60 times

What defines an independent event in probability?

• When an event has no possible outcomes

• When two events have the same outcome

• When the outcome of one event does not affect another

• When the outcome of one event affects another

What is the probability of selecting a card numbered '2' from three bags each containing cards numbered 1 to 4?

• 1/64

• 1/16

• 1/4

• 3/4

If Kendra draws a card numbered '1' and then a '5' without replacement from a bag of 6 cards, what is the probability?

• 1/30

• 1/36

• 1/6

• 2/5

Which statement is true regarding the flavors of cookies ordered at Tasty Sweets?

• Chocolate chip cookies are the least favorite.

• Oatmeal cookies are twice as likely to be ordered as chocolate chip.

• Sugar cookies are more likely to be ordered than all other flavors combined.

• Sugar cookies are four times as likely to be ordered as chocolate chip.