Constructing three event Venn diagrams

Quiz by Oak National Academy: GCSE Maths Higher (2)

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Q 1/6
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This probability Venn diagram shows the probability of a random spinner (spun once) landing on a square number or a factor of 36. Which of these probability statements are correct?
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Q1
This probability Venn diagram shows the probability of a random spinner (spun once) landing on a square number or a factor of 36. Which of these probability statements are correct?
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30s
Q2
This probability Venn diagram shows the probability of a random spinner (spun once) landing on a square number or a factor of 36. The value of $x$ is ______. Give your answer as a decimal.
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Q3
Here is a frequency Venn diagram. P(A ∩ B) = 0.2. The value of $x$ is ______.
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Q4
P(C given D) = 0.4. Which of these equations is correct to find the value of $x$ ?
$\frac{2x}{2x+1}=0.4$
$\frac{2x+1}{2x}=0.4$
$\frac{2x}{4x+1}=0.4$
$\frac{2x+1}{4x+1}=0.4$
30s
Q5
A pack of cards contains 50 “character” (c) cards and some “spell” (s) cards. A card is taken at random, replaced and a 2nd card is taken. P(two spell cards) = 0.25. There are ______ cards in the deck.
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Q6
The ratio of cats (c) to dogs (d) in an animal shelter is 4 : 3. Two random animals are taken from the shelter for adoption. Find an expression for P(2 dogs).
$\frac{3}{7}$
$\frac{9}{49}$
$\frac{3(3x-1)}{7(7x-1)}$
$\frac{3(3x-1)}{49x}$
$\frac{(3x-1)}{(7x-1)}$
30s

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