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In a factory three machines A, B and C are used to make biscuits. Machine A makes 25% of the biscuits, Machine B makes 45%

In a factory three machines A, B and C are used to make biscuits. Machine A makes 25% of the biscuits, Machine B makes 45% of the biscuits. The rest of the biscuits are made by machine C. It is also known that 2% of biscuits made by machine A are broken, 3%, of biscuits made by machine B are broken and 5% of biscuits made by machine C are broken.

Q1. Draw a tree diagram to illustrate all the possible outcomes and associated probabilities

Q2. Calculate the probability that biscuits is made by machine A and is not broken

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