Foundation November 2018 Paper 2 Q16

OCRFoundationCurrent spec3 marksBasic ProbabilityMultiple Events

16 Geoff has two fair spinners.

Spinner A has three equal sections numbered 1, 7 and 9. Spinner B has four equal sections numbered 2, 3, 4 and 5

He spins both spinners and multiplies the numbers on each spinner.

(a) Complete the table.
×179
221418
332127
4428
5535

Spinner A across the top; Spinner B down the side

[1]

(b) Geoff wants to work out the probability that the outcome of the multiplication is an even number or a prime number.
Here is his working.
Geoff’s working: The probability the outcome is an even number is 6/12. The probability the outcome is a prime number is 3/12. The probability the outcome is an even number or a prime number is 6/12 + 3/12 = 9/12.

Geoff is wrong.
Explain his error and give the correct answer. [2]