Mathematics · Oct / Nov 2023 · Paper 42 · Question 8
0580
As printed in the paper
The question as text
Dice A 1 2 2 Dice B 2 3 3 The diagram shows two fair dice. Dice A is numbered 1, 2, 2, 2, 3, 6. Dice B is numbered 2, 3, 3, 4, 4, 4.
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
8(a)(i)[1]
1 6 oe [1]
8(a)(ii)[1]
25 [1]
FT their (a)(i) dep on 0 < (a) < 1
8(b)(i)[3]
11 36 oe [3]
M2 for 1 2 3 3 × + × oe or correct 6 6 6 6 possibility diagram with 11 outcomes identified
or M1 for 1 2 3 3 × × or oe 6 6 6 6 or lists the 11 required outcomes or for possibility diagram but required outcomes not indicated
8(b)(ii)[2]
2 11oe [2]
M1 for 2 p k or seen oe leading to their 11 answer
8(c)[2]
6 [2]
k
M1 for 4 × 2 32 = written oe 6 6 729 soi by one trial with k > 1 −= 2 n 1 32 or better or n = or 3 729 or better
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