Question

If you were to spin this spinner twice, what is the probability of getting one red and one yellow? Draw a tree diagram to show the outcomes. How many times would you get one red and one yellow if you spun the spinner 32 times? (4 marks)

Answer 1

See below ~

Explanation:

Question Part I :

⇒ Sample Space = {RR, RY, RR, RR, RY, RR, RR, RR, YR, YR, YR, YY, RR, RR, RY, RR}

⇒ P (One red, one yellow) (for 2 times) = 3/4 × 1/4 = 6/16 = 3/8

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Question Part II :

⇒ P (one red, one yellow) (for 32 times)

⇒ [P (One red, one yellow) (for 2 times) × 4/4

⇒ 3/8 × 4/4

⇒ 12/32

⇒ 12 times