setsnp_0417 [11 marks]

Question images are not shown in the question bank. Teachers see them when reviewing.

Details

Topic: Sets and probability (Probability)
Marks: 11
Tier: Extended
Style: Structured
Calculator: Not tagged yet
Status: Usable
Source: setsnprobabilityclassified1.pdf, page 16, 0580/41/M/J/10 (original Paper 4)
Import issues: None

Part	Answer	Mark	Guidance
(a)	B, because 2/5 > 1/4	1	Both the box and a valid reason needed
(b)(i)	A black 3/4; B 1/3; B white 2/5; B black 3/5	4	B1 for each
(b)(ii)	1/2 (6/12)	2	M1 for 2/3 × 3/4
(b)(iii)	7/10	2	M1 for their (b)(ii) + 1/3 × 3/5
(c)	1/30	2	M1 for 1/3 × 2/5 × 1/4 (Box A gives probability 0)