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Calculating theoretical probabilities from probability trees (two events)

Quiz by Oak National Academy: KS3 Maths (2)

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Q 1/6
Score 0
If P(A) = $\frac{1}{3}$ and P(A and D) = $\frac{1}{5}$ , then what is P(D)?
29
$\frac{1}{5}$
$\frac{3}{5}$
$\frac{2}{5}$

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6 questions

Show answers

Q1
If P(A) = $\frac{1}{3}$ and P(A and D) = $\frac{1}{5}$ , then what is P(D)?
$\frac{1}{5}$
$\frac{3}{5}$
$\frac{2}{5}$
30s
Q2
What is the error in this tree diagram?
Events D and E should sum to 1 but they don't.
Events B and F should sum to 1 but they don't.
Events A and C should sum to 1 but they don't.
Events E and F should sum to 1 but they don't.
30s
Q3
What is a suitable calculation for the probability of event B occurring, and event F not occurring?
$\frac{5}{6}*\frac{1}{4}$
$\frac{5}{6}*\frac{3}{4}$
$\frac{5}{6}+\frac{3}{4}$
$\frac{5}{6}+\frac{1}{4}$
30s
Q4
If the first and second event in this tree diagram were both flipping a coin once, what would be the probability of event B and event F occurring?
$\frac{1}{4}$
$\frac{2}{6}$
$\frac{1}{2}$
30s
Q5
What is the least likely (but not impossible) pair of events occurring in this tree diagram?
B then E
A then D
A then C
B then F
30s
Q6
Which pair of events has a more than even chance of occurring?
A and C
A d D
B and F
B and E
30s

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