CAIE S1 2009 November — Question 2 4 marks

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2009
SessionNovember
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicDiscrete Probability Distributions
TypeExpected profit or cost problem
DifficultyModerate -0.8 This is a straightforward expected value calculation requiring: (1) finding P(sum ≥ 7) by listing outcomes on two tetrahedral dice (routine enumeration of 16 equally likely outcomes), (2) multiplying by 200. It's simpler than average A-level questions as it involves only basic probability counting and one multiplication, with no complex probability concepts or multi-step reasoning.
Spec2.04a Discrete probability distributions5.02b Expectation and variance: discrete random variables

2 Two unbiased tetrahedral dice each have four faces numbered \(1,2,3\) and 4. The two dice are thrown together and the sum of the numbers on the faces on which they land is noted. Find the expected number of occasions on which this sum is 7 or more when the dice are thrown together 200 times.

2 Two unbiased tetrahedral dice each have four faces numbered $1,2,3$ and 4. The two dice are thrown together and the sum of the numbers on the faces on which they land is noted. Find the expected number of occasions on which this sum is 7 or more when the dice are thrown together 200 times.

\hfill \mbox{\textit{CAIE S1 2009 Q2 [4]}}