Yesterday, Mrs Pixey was being horrid to her long-suffering children by mixing up their lunch boxes. This morning, she thought of another fiendish prank. Again, she packs their lunch boxes in such a way so that all of them are in the wrong school bag, but this time she allows for the possibility that one bag may contain more than one lunch box. She rolls a die to help make her selection random.

What is the probability that at least one of her three children goes without lunch?

In reality, her kids have gotten used to their mother’s sense of humour and have learnt to double-check their bags as they leave the house to go to school. None of them went hungry.

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