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Probability: Experimental Estimates

Quiz by DoodleMaths

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20 questions
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  • Q1
    I suspect a coin of being biased. I toss it 100 times and it lands on heads 13 times. What is the best estimate of the probability of getting a head the next time I toss the coin?
    ¹⁄₁₀
    ¹³⁄₁₀₀
    ¹⁄₂
    ¹⁄₁₃
    30s
  • Q2
    I drop 200 drawing pins on the floor. 50 land pin-up. What would be the best estimate of the probability of a drawing pin landing pin-up?
    ¹⁄₄
    0.2
    0.5
    ¹⁄₅₀
    30s
  • Q3
    I did a survey of 20 people to see how many siblings they had. Based on the results shown, what is the probability that someone chosen at random has no brothers or sisters?
    Question Image
    ⁸⁄₂₀
    ⁵⁄₂₀
    ⁶⁄₂₀
    ¹⁄₂₀
    30s
  • Q4
    I dropped a piece of toast 1000 times, recording how many times it landed butter-side down. Work out the experimental probability of landing butter-side down at each stage of the experiment:
    Question Image
    Users link answers
    Linking
    30s
  • Q5
    For my toast experiment, which probability is the best estimate?
    Question Image
    0.65 - this is to 2 decimal places
    0.6 - 200 trials is plenty
    0.55 - this is the result from the most trials
    0.8 - it shows the toast is biased
    30s
  • Q6
    I toss a coin 100 times and get a head 65 times. This means...
    the coin is possibly biased but I need to do more trials to be sure
    next time I will get a tail
    the coin is definitely not biased
    the coin is definitely biased
    30s
  • Q7
    I toss a coin 100 times and get a head 90 times. This means...
    next time I am likely to get a head
    next time I am likely to get a tail
    getting a head/tail is equally likely
    the coin is not biased
    30s
  • Q8
    I survey my swimming club about how many pets everyone has. Link the number of pets to their experimental probabilities.
    Question Image
    Users link answers
    Linking
    30s
  • Q9
    For the following events, sort them according to how you would work out the probability of it happening:
    Users sort answers between categories
    Sorting
    30s
  • Q10
    I drop 100 pencils on the floor. Exactly 41 of them break. As a decimal, what is the best estimate of the probability of a pencil breaking when it is dropped?
    Users enter free text
    Type an Answer
    30s
  • Q11
    I observe toads crossing a road. Out of 100, 11 get squashed. This means that the probability of a toad getting across the road safely is 0.89.
    true
    false
    True or False
    30s
  • Q12
    I plant 30 orchid seeds. Only 9 of them sprout. Based on this, the probability of an orchid seed sprouting is...
    0.333
    0.9
    0.3
    ¹⁄₉
    30s
  • Q13
    I do a quick survey on my classmates' shoe sizes - the results are shown. What is the experimental probability of a classmate having size 8 shoes?
    Question Image
    Users enter free text
    Type an Answer
    30s
  • Q14
    I suspect a dice of being biased. I roll it 60 times and it lands on a six 50 times. What is the best estimate of the probability of getting a six the next time I roll the dice?
    ⁶⁄₅₀
    ⁵⁄₆
    ¹⁄₆₀
    ¹⁄₆
    30s
  • Q15
    A chocolate factory manager wants to know the probability of one of his chocolate bars being broken. He examines 1000 bars and 9 are broken. Based on his experiment, a good estimate of the probability of a bar being broken is:
    0.09
    0.009
    9
    0.9
    30s

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