Discount Coffee Mugs

Probability Math Problem. Help Please?

I ordered Coffee mugs from a discount internet site. When I received my purchase, 2/3 of the mugs were cracked, 1/2 were chipped, and 1/4 were both chipped and cracked. Only two of the mugs were undamaged. How many Coffee Mugs did I buy?

P(chipped or cracked) = P(chiped) + P(cracked) – P(chipped and cracked)

= 1/2 + 2/3 – 1/4 = 11/12

If 11/12 were either chipped or cracked, then 1/12 were neither. Since 2 mugs account for 1/12 of the number bought, you bought 24 mugs.

Answer: 24

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