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?
0.13
0.07
0.06
0.26

Explanation:

Step1: Find total number of participants

The total number of students surveyed is 200.

Step2: Find number of participants who dream in black - and - white or color

The number of participants who dream in black - and - white or color is the sum of the number of participants in set B only, the intersection of B and C, and set C only. That is \(4 + 12+10=26\).

Step3: Calculate the probability

The probability \(P\) of an event is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So \(P=\frac{26}{200}=0.13\).

Answer:

0.13