Probability of union of two events

Front

What is the probability of the union of two events, P(A U B)?

Back

P(A U B) = P(A) + P(B) - P(A ∩ B)

Front

Define the term 'complement of an event'.

Back

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

Front

If P(M) = 0.40, what is P(M')?

Back

P(M') = 1 - P(M) = 1 - 0.40 = 0.60.

Front

What does a Venn diagram represent in probability?

Back

A Venn diagram visually represents the relationships between different sets, including their unions and intersections.

Front

How do you calculate the probability of selecting an event from a sample space?

Back

P(Event) = (Number of favorable outcomes) / (Total number of outcomes in the sample space).

Front

If P(A) = 0.3 and P(B) = 0.5, and A and B are independent, what is P(A U B)?

Back

P(A U B) = P(A) + P(B) - P(A ∩ B) = 0.3 + 0.5 - (0.3 * 0.5) = 0.65.

Front

What is the formula for finding the probability of the intersection of two events, P(A ∩ B)?

Back

P(A ∩ B) = P(A) + P(B) - P(A U B).

Front

If 60% of students like chocolate, what is the probability that a randomly selected student does not like chocolate?

Back

P(Not liking chocolate) = 1 - P(Liking chocolate) = 1 - 0.60 = 0.40.

Front

What is the total number of students if 288 students are involved in various activities as shown in a Venn diagram?

Back

The total number of students is 288.

Front

If 149 students participate in athletics, what is the probability of selecting a student who participates in athletics?

Back

P(Athletics) = (Number of students in athletics) / (Total number of students) = 149 / 288.