Tree diagrams

Mark scheme and answers · Total marks: 60

Question 1 [1 mark]

0.7627

Mark scheme
  • A [1] — cao 0.7627

Accept algebraically equivalent correct forms.

Question 2 [1 mark]

0.058

Mark scheme
  • A [1] — cao 0.058

Accept algebraically equivalent correct forms.

Question 3 [1 mark]

0.38

Mark scheme
  • A [1] — cao 0.38

Accept algebraically equivalent correct forms.

Question 4 [1 mark]

3

Mark scheme
  • A [1] — cao 3

Accept algebraically equivalent correct forms.

Question 5 [1 mark]

Tree diagram: first flip H (12) or T (12); second from each H (12) or T (12).

Mark scheme
  • A [1] — cao Tree diagram: first flip H (12) or T (12); second from each H (12) or T (12).

Accept algebraically equivalent correct forms.

Question 6 [1 mark]

16

Mark scheme
  • A [1] — cao 16

Accept algebraically equivalent correct forms.

Question 7 [1 mark]

425

Mark scheme
  • A [1] — cao 425

Accept algebraically equivalent correct forms.

Question 8 [3 marks]

Tree diagram with branches: first draw R (35) or B (25); second draw from each R (35) or B (25).

Mark scheme
  • A [1] — cao Tree diagram with branches: first draw R (35) or B (25); second draw from each R (35) or B (25).

Accept algebraically equivalent correct forms.

Question 9 [3 marks]

Tree diagram: Monday Rain (0.3) or No Rain (0.7); Tuesday from Rain: Rain (0.6) or No Rain (0.4); from No Rain: Rain (0.2) or No Rain (0.8).

Mark scheme
  • A [1] — cao Tree diagram: Monday Rain (0.3) or No Rain (0.7); Tuesday from Rain: Rain (0.6) or No Rain (0.4); from No Rain: Rain (0.2) or No Rain (0.8).

Accept algebraically equivalent correct forms.

Question 10 [3 marks]

0.032

Mark scheme
  • A [1] — cao 0.032

Accept algebraically equivalent correct forms.

Question 11 [2 marks]

3

Mark scheme
  • A [2] — cao 3

Accept algebraically equivalent correct forms.

Question 12 [3 marks]

0.2

Mark scheme
  • A [2] — cao 0.2

Accept algebraically equivalent correct forms.

Question 13 [2 marks]

28165

Mark scheme
  • A [2] — cao 28165

Accept algebraically equivalent correct forms.

Question 14 [2 marks]

0.18

Mark scheme
  • A [2] — cao 0.18

Accept algebraically equivalent correct forms.

Question 15 [2 marks]

715

Mark scheme
  • A [2] — cao 715

Accept algebraically equivalent correct forms.

Question 16 [2 marks]

0.9375

Mark scheme
  • A [2] — cao 0.9375

Accept algebraically equivalent correct forms.

Question 17 [2 marks]

0.0394

Mark scheme
  • A [2] — cao 0.0394

Accept algebraically equivalent correct forms.

Question 18 [2 marks]

0.9025

Mark scheme
  • A [2] — cao 0.9025

Accept algebraically equivalent correct forms.

Question 19 [2 marks]

116

Mark scheme
  • A [2] — cao 116

Accept algebraically equivalent correct forms.

Question 20 [3 marks]

Tree diagram: first student French-only (725), German-only (325), both (525), neither (1025); second without replacement with adjusted probabilities.

Mark scheme
  • A [2] — cao Tree diagram: first student French-only (725), German-only (325), both (525), neither (1025); second without replacement with adjusted probabilities.

Accept algebraically equivalent correct forms.

Question 21 [2 marks]

10125 or 225

Mark scheme
  • A [2] — cao 10125 or 225

Accept algebraically equivalent correct forms.

Question 22 [2 marks]

11

Mark scheme
  • A [2] — cao 11

Accept algebraically equivalent correct forms.

Question 23 [2 marks]

1528

Mark scheme
  • A [2] — cao 1528

Accept algebraically equivalent correct forms.

Question 24 [2 marks]

0.784

Mark scheme
  • A [2] — cao 0.784

Accept algebraically equivalent correct forms.

Question 25 [2 marks]

0.16

Mark scheme
  • A [2] — cao 0.16

Accept algebraically equivalent correct forms.

Question 26 [2 marks]

122

Mark scheme
  • A [2] — cao 122

Accept algebraically equivalent correct forms.

Question 27 [3 marks]

Tree diagram: first flip H (0.6) or T (0.4); second from each H (0.6) or T (0.4); third similarly.

Mark scheme
  • A [2] — cao Tree diagram: first flip H (0.6) or T (0.4); second from each H (0.6) or T (0.4); third similarly.

Accept algebraically equivalent correct forms.

Question 28 [2 marks]

0.0396

Mark scheme
  • A [2] — cao 0.0396

Accept algebraically equivalent correct forms.

Question 29 [2 marks]

125

Mark scheme
  • A [2] — cao 125

Accept algebraically equivalent correct forms.

Question 30 [3 marks]

710

Mark scheme
  • A [2] — cao 710

Accept algebraically equivalent correct forms.