The probability that a biased coin lands on heads is 2/5. What is the probability that this coin lands on tails?

Answer options:

0.5

2/5

3/5

40%

How to approach this question

The sum of probabilities for all possible outcomes of an event is 1. A coin can land on either heads or tails. If you know the probability of heads, you can find the probability of tails by subtracting the probability of heads from 1.

Full Answer

C.3/5✓ Correct

In probability, the sum of the probabilities of all possible outcomes is always 1. For a coin toss, the only two outcomes are heads and tails. Therefore, P(Heads) + P(Tails) = 1. We are given that P(Heads) = 2/5. So, P(Tails) = 1 - P(Heads) P(Tails) = 1 - 2/5 To subtract the fraction, we can write 1 as 5/5: P(Tails) = 5/5 - 2/5 = 3/5.

Common mistakes

✗ Assuming the coin is fair and answering 0.5.\n✗ Confusing the probability of tails with the probability of heads.

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Practice the full AQA GCSE Statistics Foundation Tier Paper 2

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