Prob and Stats 5.5-5.8 Flashcard

Front

What is a Combination?

Back

A selection of items from a larger set where the order does not matter.

Front

What is a Permutation?

Back

An arrangement of items from a larger set where the order does matter.

Front

What does the symbol ( ∩ ) represent in set theory?

Back

Intersection - the set of elements that are common to both sets.

Front

What is the Fundamental Counting Principle?

Back

If there are n ways to do one thing and m ways to do another, then there are n * m ways to do both.

Front

How do you calculate the probability of an event?

Back

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

Front

What is the probability of selecting a woman who likes blue if 10% of women like blue and 40% are women?

Back

0.25 or 25%.

Front

What is the difference between Union and Intersection in set theory?

Back

Union combines all elements from both sets, while Intersection includes only the elements common to both sets.

Front

How do you determine if a problem requires a Combination or Permutation?

Back

Use Combination when order does not matter; use Permutation when order does matter.

Front

What is an example of a real-world application of the Fundamental Counting Principle?

Back

Choosing outfits from different clothing items, where the total combinations are calculated by multiplying the number of choices for each item.

Front

What is the formula for combinations?

Back

C(n, r) = n! / (r!(n - r)!), where n is the total items, and r is the items chosen.