Probability Models

Front

What is a probability model?

Back

A probability model is a mathematical representation of a random phenomenon, describing the possible outcomes and their associated probabilities.

Front

What is the probability of rolling a 1 or a 6 on a fair six-sided die?

Back

The probability is 2/6 or 1/3, since there are two favorable outcomes (1 and 6) out of six possible outcomes.

Front

If a die is rolled 300 times, how many times would you expect to roll a 1 or a 6?

Back

You would expect to roll a 1 or a 6 approximately 100 times (1/3 of 300).

Front

What is the formula for calculating probability?

Back

Probability = (Number of favorable outcomes) / (Total number of possible outcomes).

Front

What is the probability of getting a 2 or a 3 on a spinner divided into four equal sections?

Back

The probability is 1/4, as there is one favorable outcome (2 or 3) out of four possible outcomes.

Front

What are the possible outcomes of a spinner that can land on 1, 2, or 3?

Back

The possible outcomes are 1, 2, and 3.

Front

What does P(not D) represent in probability?

Back

P(not D) represents the probability of the event not occurring, calculated as 1 - P(D).

Front

If a spinner has 6 equal sections, what is the probability of landing on a section that is not labeled D?

Back

If D is one section, P(not D) = 5/6.

Front

How can you simulate choosing from a bag containing different types of balls?

Back

You can simulate this by choosing from colored marbles that represent the different types of balls in the bag.

Front

What is the total number of balls in a sports bag containing 3 tennis balls, 4 baseballs, and 8 golf balls?

Back

The total number of balls is 15 (3 + 4 + 8).