Probability Flashcard 1

Front

What is the probability of an event?

Back

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

Front

How do you calculate the probability of an event occurring?

Back

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

Front

What does A∩B represent in probability?

Back

A∩B represents the intersection of sets A and B, meaning the outcomes that are in both A and B.

Front

What does A∪B represent in probability?

Back

A∪B represents the union of sets A and B, meaning the outcomes that are in either A or B or both.

Front

What is the complement of an event A, denoted A'?

Back

The complement of an event A, denoted A', is the set of outcomes in the sample space that are not in A.

Front

How many ways can you arrange n items?

Back

The number of ways to arrange n items is n! (n factorial), which is the product of all positive integers up to n.

Front

What is the formula for combinations?

Back

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

Front

What is the formula for permutations?

Back

The formula for permutations is P(n, r) = n! / (n-r)!, where n is the total number of items and r is the number of items to arrange.

Front

If 80 students are surveyed, and 31 play all three sports, what is the probability that a randomly selected student plays all three sports?

Back

The probability is 31/80.

Front

How do you find the number of students who play both football and wrestling?

Back

You can find this by identifying the intersection of the two sets representing students who play football and those who wrestle.