At the Enchantus Institute of Sorcery the apprentices have to take exams in four subjects: Alchemy, Spellcasting, Herbology and Divination.

- 95% of the apprentices passed Alchemy
- 85% of the apprentices passed Spellcasting
- 75% of the apprentices passed Herbology
- 65% of the apprentices passed Divination.

(a) If an apprentice is selected at random what is the probability that they passed all four subjects?

(b) What percentage of the apprentices, at least, must have passed all four subjects?

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