Foundation November 2020 Paper 3 Q9
9 Mia has knitted 3 left-hand gloves: 1 blue, 1 green, and 1 red.
She has knitted 2 right-hand gloves: 1 green and 1 red.
She chooses a left-hand glove and a right-hand glove at random to make a pair of gloves.
Mia says
I have a probability of \(\dfrac{2}{3}\) of choosing a pair of gloves of the same colour as there is a red pair and a green pair and there are three colours.
Is she correct?
Show how you decide.
Mia is .................. because .................. [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Incorrect oe supported by full correct evidence and \(\dfrac{1}{3}\) or Incorrect oe supported by full correct evidence and \(\dfrac{2}{3}\) not equal \(\dfrac{2}{6}\) oe | 3 | M2 for GB, GG, GR, RB, RG, RR oe only and \(\dfrac{2}{6}\) or M1 for 5 or 6 correct pairs shown [and one wrong or repeat] or [There are] six pairs [with] two matching [so P =] \(\dfrac{1}{3}\)” oe | oe correct, annotated tree diagram isw attempt to cancel once \(\dfrac{2}{6}\) seen For M1 ignore any fractions and mark only lists |