OCR MEI S1 2011 January — Question 2

Exam BoardOCR MEI
ModuleS1 (Statistics 1)
Year2011
SessionJanuary
TopicIndependent Events
TypeTest independence using definition
2 The table shows all the possible products of the scores on two fair four-sided dice.
\multirow{2}{*}{}Score on second die
1234
\multirow{4}{*}{Score on first die}11234
22468
336912
4481216
  1. Find the probability that the product of the two scores is less than 10 .
  2. Show that the events 'the score on the first die is even' and 'the product of the scores on the two dice is less than 10' are not independent.
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