i need help with question 6,7,8

6.A campus radio station surveyed 282 students to determine the types of music they like. The survey revealed that 130 like rock only, 117 like country only and 17 like both of these types of music. What is the probability that a randomly selected student likes country but not rock?

a) 0.0603

b) 0.4149

c) 0.5495

d) 0.4415

e) 0.4752

7.A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 201 like rock, 161 like country, and 117 like jazz. Moreover, 28 like rock and country, 24 like rock and jazz, 24 like country and jazz, and 11 like all three types of music. What is the probability that a randomly selected student likes at least two of the three types of music?

a) 0.2960

b) 0.0220

c) 0.4000

d) 0.0820

e) 0.1080

8.A fair coin is tossed 16 times. What is the probability that exactly 3 heads occur?

a) 0.0007

b) 0.0085

c) 0.1875

d) 0.0002

e) 0.0513