Higher June 2024 Paper 2R Q14

EdexcelHigherCurrent spec3 marksMultiple Events

14 Adriana is going to roll a biased dice and spin a biased coin.

The probability that the coin will land on Heads is 0.8
The probability that the dice will land on 6 and the coin will land on Heads is 0.24

Work out the probability that the dice will land on 6 and the coin will land on Tails.

(3)

Mark scheme

Scheme	Marks
0.24 ÷ 0.8 (= 0.3) oe	M1
“0.3” × (1 – 0.8) oe or “0.3” × 0.2 oe or 1 – (“0.3” × 0.8 + 0.7 × 0.8 + 0.7 × 0.2) oe or 1 – 0.94 oe	M1
Working not required, so correct answer scores full marks (unless from obvious incorrect working) Answer: 0.06	A1
	(3)
	(3 marks)

M1: for a complete method

A1: oe eg \(\dfrac{3}{50}\) or \(\dfrac{6}{100}\) or 6%