QUANTIFYING RANDOMNESS DAY 4

Front

What is the definition of conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred. It is denoted as P(A | B), which reads as 'the probability of A given B.'

Front

How do you calculate P(Female | Part-time) using a frequency table?

Back

To calculate P(Female | Part-time), divide the number of female part-time students by the total number of part-time students.

Front

What is a Venn Diagram and its purpose in probability?

Back

A Venn Diagram is a visual representation used to show the relationships between different sets. In probability, it helps organize and visualize the likelihood of two or more events that may overlap.

Front

What does the symbol ∩ represent in probability?

Back

The symbol ∩ represents the intersection of two sets, which is the event that both sets occur. It is read as 'and'.

Front

What is the theoretical probability of rolling a 5 on a fair 6-sided die?

Back

Front

What is the difference between theoretical probability and experimental probability?

Back

Theoretical probability is based on the expected outcomes in a perfect scenario, while experimental probability is based on actual results from experiments or trials.

Front

How do you express the union of two events A and B in probability?

Back

The union of two events A and B is expressed as P(A ∪ B), which represents the probability that either event A or event B occurs.

Front

What is the formula for calculating the probability of independent events?

Back

For independent events A and B, the probability is calculated as P(A and B) = P(A) * P(B).

Front

What is the complement of an event in probability?

Back

The complement of an event A, denoted as A', is the event that A does not occur. The probability of the complement is P(A') = 1 - P(A).

Front

What is the Law of Large Numbers in probability?

Back

The Law of Large Numbers states that as the number of trials increases, the experimental probability will converge to the theoretical probability.