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Let X be the number of cakes containing fruit, out of 6.
Let Y be the number of packets with at most 2 cakes containing fruit, out of 8.
Let W be the number of packets with at most 2 cakes containing fruit, out of 150.
Since is large, and ,
by continuity correction
Students must call all variables out carefully as they denote different things. And many still forget to perform continuity correction.