Basic Probability: Eduqas GCSE Foundation June 2024 Paper 2 Q6

Foundation June 2024 Paper 2 Q6

EduqasFoundationCurrent spec3 marksBasic Probability Combinations

6. Jade must enter a code to open her safe by pressing three buttons.
The code consists of one letter, one number and one shape.

Diagram: a keypad with buttons A and B, buttons 1, 2 and 3, and a triangle button and a circle button

(a) List all the possible code combinations.
One has been completed for you. [2]

Diagram: a table with columns Letter, Number and Shape; the first row is completed as A, 1, triangle, followed by 13 empty rows

You may not need to use all the lines.

(b)

Jade has forgotten her code.
She enters one letter, one number and one shape at random.

What is the probability that she enters the correct code? [1]

Mark scheme (a)

Scheme

Marks

Comments

Letter	Number	Shape
A	1	△
A	2	△
A	3	△
A	1	○
A	2	○
A	3	○
B	1	△
B	2	△
B	3	△
B	1	○
B	2	○
B	3	○

B2 for a complete table with no errors or repeats, except the first row.

B1 for 6 or more correct rows, ignoring any repeated rows.

Note: order of rows may be different.

Allow the use of words or letters for triangle and circle.

Mark scheme (b)

Scheme	Marks	Comments
\(\frac{1}{12}\) or \(0.08\dot{3}\) or \(8.\dot{3}\%\) oe ISW	B1	Allow 0.0833(...) or 8.33(…)% FT their table provided B1 awarded in (a). B0 for ‘1 out of 12’ oe or 1:12 only.
	(3)