Question

Draw a tree diagram. Find each probability.
The students of a high school are 51% males; 45% of the males and 49% of the females attend concerts.
a. Find the probability that a student attends concerts.
b. Find the probability that a student is a female and does not attend
concerts.

Answer 1

The probability that a student attends concerts is
\[P(C)=(0.51 \times 0.45)+(0.49 \times 0.49)\]
The probability that a student is female and does not attend concerts is
\[P(F+NC)=0.49 \times 0.51=you\ can\ calculate\]

Answer 2

Please note correction to labeling of diagram.