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Higher November 2020 Paper 1 Q11

EduqasHigherCurrent spec4 marksTree Diagrams

11. Jan’s hobbies are sewing and gardening.

Each week the probability that she spends:

  • Monday evening sewing (S) is 0·3,
  • time gardening on Friday (G) is 0·6.

These events are independent.

The tree diagram shows this information.

Tree diagram: first branches S 0.3 and Not S 0.7; from each, G 0.6 and Not G 0.4

Calculate the probability that, in a randomly selected week,

(a) Jan spends Monday evening sewing but does not spend time gardening on Friday, [2]
(b) Jan does not spend Monday evening sewing but does spend time gardening on Friday. [2]
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