Question

(50 points) Use the spinner below. Show your work, making sure to simplify your answers. (Note: The smallest section of the circle is 1/16 of the circle.)

16. What is P(red, yellow, blue)?

17. What is P(orange, yellow)?

18. P(green, blue, purple)?

19. P(pink)?

20. P(red, orange, yellow, green, blue, purple)?

Thank you!!

Answer 1

• 16. 3/8
• 17. 1/8
• 18. 5/18
• 19. 0
• 20. 1

Explanation:

As per the spinner we have:

• Green = 1/2 - 1/16 = 7/16
• Red = 1/4
• Purple = 1/8
• Orange, blue, yellow = 1/16

16. P(red, yellow, blue) = ?

• P = 1/4 + 1/16 + 1/16 = 3/8

17. P(orange, yellow) = ?

• P = 1/16 + 1/16 = 1/8

18. P(green, blue, purple) = ?

• P = 7/16 + 1/16 + 1/8 = 10/16 = 5/8

19. P(pink) = ?

• P = 0 as no pink section

20. P(red, orange, yellow, green, blue, purple) = ?

• P = 1 as all possible colors selected