Edexcel IGCSE Math A 6.3.H complement of an event

Practise complement-probability questions by subtracting the given probability from 1 or using the non-event count directly.

Exam points

Subtract a given probability from 1 to find the probability of the complement.
Use wording such as not white or does not prefer cake to identify the non-event.

[Maximum number: 3]

Ciara throws four fair six-sided dice.
The faces of each dice are labelled with the numbers 1,2,3,4,5,6
Work out the probability that at least one of the dice lands on an even number.

Probability no dice lands on an even number:
$\left(\frac12\right)^4=\frac{1}{16}$

Therefore:
$1-\left(\frac12\right)^4=\frac{15}{16}$

Final answer:
$\frac{15}{16}$

Equivalent decimals accepted, for example 0.9375.

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6.3.H Complementary events question 1