3.1-3.2 Probability Problems

Front

What is the definition of probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What is the formula for calculating the probability of an event?

Back

The probability of an event A is calculated as P(A) = Number of favorable outcomes / Total number of outcomes.

Front

What does it mean to select without replacement?

Back

Selecting without replacement means that once an item is selected, it is not returned to the pool of items for subsequent selections.

Front

How do you calculate the probability of multiple independent events occurring?

Back

For independent events, the probability of all events occurring is the product of their individual probabilities.

Front

What is the probability of selecting a specific item from a group?

Back

The probability of selecting a specific item is calculated as 1 divided by the total number of items in the group.

Front

How do you find the probability of selecting a specific color marble from a bag?

Back

P(color) = Number of marbles of that color / Total number of marbles.

Front

What is the total number of combinations for selecting one item from multiple categories?

Back

Total combinations = (Number of choices in category 1) x (Number of choices in category 2) x ...

Front

What is the probability of selecting a red marble, then a blue marble, and then a green marble with replacement?

Back

P(Red, Blue, Green) = P(Red) x P(Blue) x P(Green) for each selection.

Front

What is the probability of selecting a specific key from a set of keys?

Back

If there is 1 correct key and n total keys, the probability is P = 1/n.

Front

What is the concept of conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred.