Handling Data 5
2 marks · EasyA bag contains 5 green balls and 3 yellow balls. Kate picks a ball at random, replaces it, and then picks again. What is the probability that both balls are green?
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\frac{25}{64} (±0)
Also accept: 25/64; 0.390625
Common mistakes: 5/16; 10/64
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Marking points
M1 · 1 mark · For a correct method to find the probability of both green (e.g., multiplying the single event probabilities)
A1 · 1 mark · For the correct answer or 0.390625
Worked solution
The probability of picking a green ball once is .