Foundation November 2022 Paper 2 Q24
24 Alex has a bag containing 3 blue beads and 5 green beads.
There are no other beads in the bag.
Alex takes a bead at random from the bag, puts it back, and then takes another bead.
Alex says
The probability that the two beads are the same colour is less than 50%.
Is Alex correct?
Show how you decide.
You may use this tree diagram if you wish.
.................... because ........................................ [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| No oe and \(\dfrac{34}{64}\) oe | 5 | M4 for \(\dfrac{3}{8} \times \dfrac{3}{8} + \dfrac{5}{8} \times \dfrac{5}{8}\) oe or M3 for \(\dfrac{3}{8} \times \dfrac{3}{8}\) or \(\dfrac{5}{8} \times \dfrac{5}{8}\) oe or B2 for \(\dfrac{3}{8}\) and \(\dfrac{5}{8}\) oe or B1 for \(\dfrac{3}{8}\) oe or \(\dfrac{5}{8}\) oe | M3, B2 or B1 may be seen on the diagram or in working. Diagram does not need to be labelled. Accept equivalent decimals and percentages |