OCR MEI AS Paper 2 2024 June — Question 9

Exam BoardOCR MEI
ModuleAS Paper 2 (AS Paper 2)
Year2024
SessionJune
TopicProbability Definitions
TypeBasic probability calculation

9 A fair six-sided die has its faces numbered 1, 3, 4, 5, 6 and 7. The die is rolled once.
\(A\) is the event that the die shows an even number.
\(B\) is the event that the die shows a prime number.
  1. Write down the value of \(\mathrm { p } ( A )\).
  2. Write down the value of \(\mathrm { p } ( B )\).
  3. Write down the value of \(\mathrm { p } ( A\) or \(B )\). The die is rolled again.
  4. Calculate the probability that the sum of the scores from the two rolls is even.