P2 apply ideas of randomness, fairness and equally likely events to calculate expected... Quiz: Pearson Edexcel Maths, Unit 5

The 20 questions

1. How do you calculate the expected frequency of an event?

   • Trials divided by probability
   • Frequency times probability
   • Probability times trials
   • Probability plus trials

2. A fair coin is tossed 80 times. How many heads are expected?

   • 80
   • 20
   • 160
   • 40

3. A fair die is rolled 150 times. How many sixes are expected?

   • 25
   • 125
   • 150
   • 6

4. A bag has a probability of 0.3 of giving a red counter. How many reds are expected from 60 draws?

   • 42
   • 30
   • 18
   • 20

5. The probability a seed germinates is 0.85. How many of 200 seeds are expected to germinate?

   • 235
   • 85
   • 34
   • 170

6. A forecast gives a 20% chance of rain each day. How many rainy days are expected in 30 days?

   • 24
   • 6
   • 20
   • 1.5

7. A spinner has P(4) = 1/8. How many 4s are expected in 400 spins?

   • 8
   • 50
   • 32
   • 400

8. The probability of winning a game is 0.15. How many wins are expected in 45 games?

   • 0.15
   • 9
   • 6.75
   • 300

9. A class of 60 has a probability of 0.1 for being left-handed for each pupil. How many left-handers are expected?

   • 6
   • 54
   • 0.1
   • 60

10. A fair coin is tossed 10 times. Which outcome is most accurate regarding the number of heads?

    • 5 is guaranteed
    • 5 is expected
    • 0 is guaranteed
    • 10 is expected

11. An event has a 0.7 probability of not happening in each of 90 trials. How many non-events are expected?

    • 90
    • 0.7
    • 27
    • 63

12. A fair die is rolled 36 times. How many odd numbers are expected?

    • 18
    • 12
    • 3
    • 36

13. The probability of rain on a day is 0.35. How many dry days are expected in 40 days?

    • 0.65
    • 26
    • 14
    • 40

14. A game costs £2 to play and pays £30 with probability 0.05. What is the expected net gain over 200 games?

    • −£100
    • £100
    • £300
    • −£0.50

15. A fair die is rolled 60 times. How many rolls are expected to show a prime number (2, 3 or 5)?

    • 60
    • 3
    • 30
    • 20

16. A fair die is rolled 120 times. How many 5s are expected?

    • 20
    • 24
    • 6
    • 120

17. Two fair coins are tossed together 100 times. How many times are both heads expected?

    • 100
    • 50
    • 4
    • 25

18. A bag has 3 red and 7 blue counters. With replacement, how many reds are expected from 200 draws?

    • 140
    • 21
    • 60
    • 30

19. An event has probability 0.8 of success in each of 25 trials. How many failures are expected?

    • 0.2
    • 5
    • 3
    • 20

20. An event with probability 0.25 is expected to occur 75 times. How many trials were carried out?

    • 0.25
    • 75
    • 300
    • 18.75

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