Question

Suppose we randomly select one of these survey participants. let c be the event that the participant is an adult. let d be the event that the participant prefers comedies. what is p(c or d)? 0.1448 0.5775 0.7625 0.9475

Answer 1

The probability of a randomly selected survey participant being an adult or preferring comedies (P(C or D)) is 0.825. Events C and D are independent because P(C|D) equals P(C).

Step-by-step explanation:

To answer the student's question regarding the probability of event C or D, we use the formula P(C or D) = P(C) + P(D) - P(C AND D). Given that P(C) = 0.75, P(D) = 0.3, and P(C AND D) = 0.225, we can perform the calculation:

P(C or D) = 0.75 + 0.3 - 0.225 = 0.825.

For the first part of the question, events C and D would be independent if P(C|D) = P(C). However, since P(C|D) is provided as 0.75, which is equal to P(C), the probability of taking an English class given that a student is already taking a speech class is the same as the probability of taking an English class without any condition. Therefore, the events C (taking an English class) and D (taking a speech class) are independent.

Answer 2

To find the probability of the event C or D occurring, we use the formula P(C or D) = P(C) + P(D) - P(C and D). Substituting the given values, we find the probability to be 0.825.

Step-by-step explanation:

To find the probability of the event C or D occurring, we need to use the formula P(C or D) = P(C) + P(D) - P(C and D). In this case, P(C) = 0.75, P(D) = 0.3, and P(C and D) = 0.225. Substituting these values into the formula, we get P(C or D) = 0.75 + 0.3 - 0.225 = 0.825. Therefore, the correct answer is 0.825.

Probability is a measure of the likelihood that a particular event will occur. It is expressed as a number between 0 and 1, where 0 indicates impossibility (an event will not occur) and 1 indicates certainty (an event will occur). The probability of an event is often denoted by the symbol P.