ExpertEasy1 markMultiple Choice
AQA GCSE · Question 03 · Statistical Measures and Calculations
The probability that a biased coin lands on heads is 2/5. What is the probability that this coin lands on tails?
The probability that a biased coin lands on heads is 2/5. What is the probability that this coin lands on tails?
Answer options:
A.
0.5
B.
2/5
C.
3/5
D.
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
3/5
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.
Practice the full AQA GCSE Statistics Foundation Tier Paper 2
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