Stats - Chapter 4 Flashcard 2

Front

What is the intersection of two sets A and B?

Back

The intersection of two sets A and B, denoted as A ⋂ B, is the set of elements that are common to both A and B.

Front

If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9}, what is A ⋂ B?

Back

A ⋂ B = {1, 2, 3, 5}

Front

What is the union of two sets A and B?

Back

The union of two sets A and B, denoted as A ∪ B, is the set of all elements that are in A, in B, or in both.

Front

If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∪ B?

Back

A ∪ B = {1, 2, 3, 4, 5}

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, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

If there are 80 students and 36 play both Hockey and Rugby, what is the probability that a randomly selected student plays both?

Back

The probability is \( \frac{36}{80} \) or 0.45.

Front

What is the probability of selecting a student who plays all three sports?

Back

If 31 out of 80 students play all three sports, the probability is \( \frac{31}{80} \) or 0.3875.

Front

How do you determine the number of elements in the intersection of two sets?

Back

To find the number of elements in the intersection of two sets, count the elements that are present in both sets.

Front

If 15 students participate in both weight-training (W) and cardio (C), what does this represent?

Back

This represents the number of students who are involved in both activities, indicating the intersection of the two sets.

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation of the relationships between different sets, showing their intersections and unions.