Handling Data 5
3 marks · NormalTwo cards are selected randomly, with replacement, from a deck of 52 playing cards. What is the probability that both cards are aces?
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1/169 (±0.0001)
Also accept: 0.00592 (3 sf)
Common mistakes: Multiplying by 4/51 instead of both by 4/52
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Marking points
M1 · 2 marks · Identifies probability of drawing an ace as 4/52 both times, multiplies correctly.
A1 · 1 mark · Gives final answer 1/169 (or decimal equivalent).
Worked solution
Probability for first card: 4/52
Probability for second card (replacement): 4/52