probability of the union of two events

The extracurricular activities in which the grade 6 class at Senator Claro M. Recto Memorial Integrated School participate last school year are shown in the Venn diagram.

1. How many students are in the grade 6 class?

• 288

• 278

• 248

• 218

2. How many students participate in athletics?

• 127

• 135

• 149

• 169

3. If a student is randomly chosen, what is the probability that the student participates in athletics or drama?

• 5/48

• 7/144

• 217/288

• 3/288

4. If a student is randomly chosen, what is the probability that the student participates in band or athletics?

• 217/288

• 115/144

• 1/16

• 2/137

5. If a student is randomly chosen, what is the probability that the student participates only in drama and band?

• 141/288

• 1/36

• 5/36

• 5/48

Grade 10 students of Senator Claro M. Recto Memorial Integrated School have chosen their favorite subjects. The Venn diagram below shows the students' probabilities of choosing either Science or Mathematics as their favorite subject.

6. Find P(M)

• 0.15

• 0.35

• 0.20

• 0.60

7. Find P(M U S)

• 0.60

• 0.40

• 0.45

• 0.15

8. Find P(M')

• 0.35

• 0.60

• 0.65

• 0.80

9. Find P(M  $\cap$  S)

• 0.15

• 0.40

• 0.60

• 0.85

10. Find P(M  $\cap$  S)'

• 0.15

• 0.60

• 0.65

• 0.85