A Level Statistics: Unit 6 - Calculating Probabilities

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1. Two fair dice are thrown together and the product of the scores are recorded.
What is the probability of a score that is bigger than 10

  • 2/36
  • 19/36
  • 17/36
  • 0
1 of 10

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2. Troy achieved a grade 3 on his GCSE Maths exam. He has been attending catch up sessions after school and has an 82% chance of getting his grade 4 in the resits in November. He also achieved a grade 3 in his GCSE English exam but has not had time to attend

  • 0.8866
  • 0.82
  • 0.37
  • 0.3034

3. An entertainer asks an audience member to choose a card from an ordinary pack of 52 playing cards, note the card and return it to the pack. He then shuffles the pack and asks a second audience member to choose a card from the same pack.
What is the proba

  • 1/8
  • 1/4
  • 1/2
  • 1/16

4. Alan has two squash partners, Steve and Connor.
If he plays Steve he has a 54% chance of winning the match.
If he plays Connor he has an 81% chance of winning the match.
He plays Steve 72% of the time and Connor the rest of the time.
Given that Alan doesn

  • 0.1410
  • 0.28
  • 0.0532
  • 0.3772

5. Kathryn has 3 pairs of ‘work’ shoes, one black, one brown and one navy blue. The probability of her wearing these shoes is 0.56, 0.38 and 0.06 respectively. Kathryn is in work Thursday, Friday and Sunday this week.
Find the probability that she will wear

  • 0.2307
  • 0.0002
  • 0.1756
  • 0.0128
  • 0.0549
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