AQA · Mathematics · 8300
GCSE Maths: Probability: scale
Probability · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Probability: scale (Corbettmaths Video 251), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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What is the probability of rolling a specific number (e.g., a 9) that does NOT appear on an ordinary six-sided dice?
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0 (impossible). The number cannot occur.
What is the probability of getting a tail when a fair coin is flipped?
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0.5 (or 1/2, or even chance). There are two equally likely outcomes.
What is the probability of an event that is certain to happen?
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1 (or certainty). The event will always occur.
What word describes the probability of selecting a green counter from a bag containing only black counters?
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Impossible. The event cannot occur.
On a probability scale, where is the probability of an impossible event marked?
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At 0 (the left end of the scale).
What is the probability of rolling an even number on a fair six-sided dice?
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0.5 (or 1/2, or 3/6). There are 3 even numbers (2, 4, 6) out of 6 equally likely outcomes.
What is the probability of rolling a specific single number (e.g., 5) on a fair six-sided dice?
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1/6 (or approximately 0.167). Each number has an equal chance and there are 6 possible outcomes.
What is the probability of rolling a number less than 7 on a fair six-sided dice?
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1 (certain). All six numbers (1, 2, 3, 4, 5, 6) are less than 7.
What is the probability of rolling a number less than 3 on a fair six-sided dice?
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1/3 (or 2/6, or approximately 0.33). Two numbers (1 and 2) out of 6 are less than 3.
What is the probability of choosing a specific item from a set of 10 equally likely outcomes?
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1/10 or 0.1
If the probability of an event is 0.6, what is the probability of the complementary event?
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0.4 (because probabilities of complementary events sum to 1)
The probabilities of all possible outcomes in a probability space sum to ?
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1
What is the only even prime number?
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2
If probabilities of choosing yellow or white roses are 0.1 and 0.2 respectively, what is the probability of choosing either yellow OR white?
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0.3 (probabilities of mutually exclusive events add: 0.1 + 0.2 = 0.3)
If 8 out of 60 cards have a star, what is the probability of NOT picking a card with a star?
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52/60 or 13/15 or approximately 0.867 (because 60 - 8 = 52 cards without a star)
If a biased coin has a probability of 3/20 for heads, what is the probability of tails?
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17/20. The probabilities must sum to 1, so P(tails) = 1 − 3/20 = 17/20.
What is the formula to calculate the probability of an event?
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Probability = (Number of favourable outcomes) / (Total number of outcomes)
If a bag has n black socks and 12 white socks, what is the probability of picking a white sock?
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12/(n + 12). The total number of socks is n + 12, and 12 are white.
If Bowl A has 6 limes out of 14 total fruit and Bowl B has 15 limes, what equation relates the probabilities if they are equal?
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6/14 = 15/(Total in Bowl B). Equal probabilities means the fractions are equal.
How do you calculate expected frequency for an outcome?
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Expected frequency = Probability × Number of trials. For example, if P = 0.2 and trials = 500, expected frequency = 100.
If Jack has red and black cards in the ratio 1:5 and has 96 total cards, how many red cards does he have?
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16 red cards. The ratio 1:5 means 1 part out of 6 total parts, so 96/6 = 16.
In a charity raffle, if 300 tickets are sold at £3 each and prizes cost £8 with winning probability 0.2, what is the profit formula?
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Profit = Total revenue − Total prize cost. Revenue = 300 × £3 = £900. Expected prizes = 300 × 0.2 = 60, costing 60 × £8 = £480. Profit = £900 − £480 = £420.
If there are 200 adults with P(library card) = 0.87 and 70 children with P(library card) = 0.4, how many people total do NOT have a card?
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68 people. Adults without: 200 × (1 − 0.87) = 26. Children without: 70 × (1 − 0.4) = 42. Total: 26 + 42 = 68.
If a bag has 5 orange, 3 purple, and the rest pink beads, and P(pink) = 3/5, how many total beads are there?
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20 beads. Let total = x. Then pink = x − 8. So (x − 8)/x = 3/5. Cross-multiply: 5(x − 8) = 3x, giving x = 20.
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