Probability Review

Front

What is the formula for combinations?

Back

C(n, r) = n! / (r!(n - r)!) where n is the total number of items, r is the number of items to choose.

Front

How many ways can 3 players be chosen from a team of 17?

Back

C(17, 3) = 17! / (3!(17 - 3)!) = 680.

Front

What is the probability of drawing a 5 or a diamond from a standard deck of cards?

Back

P(5 or diamond) = P(5) + P(diamond) - P(5 and diamond) = 4/52 + 13/52 - 1/52 = 16/52.

Front

What is the total number of ways to choose a King, a Queen, and two First Runner-ups from 7 Kings and 6 Queens?

Back

C(7, 1) * C(6, 1) * C(12, 2) = 7 * 6 * 66 = 1260.

Front

What does P(not sport | Foreign language) represent?

Back

It represents the probability of not participating in sports given that a student is taking a foreign language.

Front

How do you calculate conditional probability?

Back

P(A | B) = P(A and B) / P(B) where A is the event of interest and B is the condition.

Front

What is the probability of not drawing a sport if a student is not taking a foreign language?

Back

P(not Sport | not Foreign Language) = 3/13.

Front

What is the difference between permutations and combinations?

Back

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

Front

How many different ways can 2 players be chosen from a group of 5?

Back

C(5, 2) = 5! / (2!(5 - 2)!) = 10.

Front

What is the probability of drawing a face card from a standard deck?

Back

P(face card) = 12/52 = 3/13.