Question

students majoring in psychology surveyed 200 of their fellow students about their dreams. the results of the survey are shown in the venn diagram. let b be the event that the participant dreams in black and white and let c be the event that the participant dreams in color.

what is the probability that a randomly selected participant dreams in color but not in black and white?

Explanation:

Identify the number of favorable outcomes

$$ n(C \cap B') = 10 $$

Identify the total number of participants

$$ N = 200 $$

Calculate the probability

$$ P(C \cap B') = \frac{10}{200} = 0.05 $$

Answer:

• 0.10
• 0.02
• 0.11
• 0.05 (Correct answer)