Tree Diagrams: WJEC GCSE Higher November 2024 Unit 1 Q6

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Higher November 2024 Unit 1 Q6

WJECHigherCurrent spec5 marksTree Diagrams

6. Evan and Jane each shoot one arrow at a target.
The probability that Evan hits the centre of the target is 0·4.
The probability that Jane hits the centre of the target is 0·45.

(a) Complete the tree diagram below. [3]

Tree diagram: Evan hits the centre (0·4) or does not hit the centre (blank); then Jane hits or does not hit the centre on each branch (blanks)

(b) Find the probability that Evan and Jane both hit the centre of the target. [2]

Completed tree diagram: Evan 0·4 and 0·6; Jane 0·45 (hits) and 0·55 (does not hit) on both pairs — Mark scheme (a)

Scheme	Marks	Comments
0·6 or equivalent on correct Evan branch.	B1
0·45 and 0·55 or equivalent correctly shown on both pairs for Jane.	B2	Award B1 for one of the following: 0·45 and 0·55 or equivalent correctly shown on one pair of Jane’s branches only 0·45 and 0·55 or equivalent consistently reversed on all Jane branches.

Mark scheme (b)

Scheme	Marks	Comments
0·4 × 0·45 or equivalent	M1	FT 0·4 × ‘Jane’s probability of hitting the centre’ provided less than 1
0·18 or equivalent ISW	A1

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