human
Marcy makes homemade candles that she markets as 99% guaranteed not to explode. 5% of the more dangerous candles also have a defect that makes them smell like wet dog. If she makes 50000 candles, how many of them will both smell like wet dog and explode?
assistant
How many candles don't explode? ** First find what percentage of the candles explode: 100% - 99% = 1%
How many candles will both smell like wet dog and explode? ** Then multiply the odds of the candles exploding by the odds of them smelling like wet dog to find the probability of both events happening: 1% * 5% = 0.05%
How many of the candles will both smell like wet dog and explode? ** Then multiply that percentage by the number of candles to find the number of them that have both defects: 0.05% * 50000 candles = <<0.05*.01*50000=25>>25 candles
#### 25