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 black and white or color, but not both? 0.13 0.05 0.07 0.14

Explanation:

Step1: Find number of students who dream in black - and - white or color but not both

The number of students who dream only in black - and - white is 4 and the number of students who dream only in color is 10. So the number of students who dream in black - and - white or color but not both is \(4 + 10=14\).

Step2: Calculate the probability

The total number of students surveyed is \(4+12 + 10+174=200\). The probability \(P\) is the number of favorable outcomes divided by the total number of outcomes. So \(P=\frac{14}{200}=0.07\).

Answer:

0.07