Math 2C 10.2

Front

What is the probability of picking a green item from a set of colored items?

Back

The probability is calculated as the number of favorable outcomes divided by the total number of outcomes.

Front

How many different combinations can be made with 3 shirts, 3 jackets, and 2 pairs of pants?

Back

The total combinations are calculated by multiplying the number of options: 3 shirts * 3 jackets * 2 pants = 18 outfits.

Front

What is the formula to calculate the total number of possible license plates with a specific format?

Back

The formula is: (number of choices for digits)^(number of digit positions) * (number of choices for letters)^(number of letter positions).

Front

What is the total number of different versions of a car model with multiple trim levels, colors, and interiors?

Back

Total versions = (number of trim levels) * (number of colors) * (number of interiors).

Front

What is the probability of drawing a specific card from a standard deck of 52 cards?

Back

The probability is 1/52 for any specific card.

Front

Define 'combinatorics' in mathematics.

Back

Combinatorics is the branch of mathematics dealing with combinations of objects in specific sets under certain constraints.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of selection, while combinations do not.

Front

How do you calculate the probability of an event?

Back

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

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

Explain the concept of 'independent events' in probability.

Back

Independent events are those whose outcomes do not affect each other.