Q3 · 2023 · Technology-freeSimple familiar1 mark
QUESTION 3
A bag contains 10 buttons of the same shape and size in different colours: 5 blue, 3 green and 2 red.
If 3 buttons are randomly drawn from the bag, which probability can be calculated using the binomial
distribution?
(A)
P(3 green) with replacement
(B)
P(3 blue) without replacement
(C)
P(2 green and 1 red) with replacement
(D)
P(2 red and 1 blue) without replacement
WORKED SOLUTION
1 markAnswer A
ANSWER
A — P(3 green) with replacement
Worked solution
Only the with-replacement experiment has independent trials with constant success probability, so the binomial calculation is option A.
Selects option A.
Worked explanation by QCE Vault; correct option verified against the QCAA answer key.
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