A supermarket buys light globes (light bulbs) from three different manufacturers - Brightlight (35%), Glowglobe (20%) and Shinewell (45%). In the past, the supermarket has found that 1% of Brightlight's globes are faulty, and that 1.5% of each of Glowglobe's and Shinewell's globe are faulty. A customer buys a globe without looking at the manufacturer's name - in other words, it's random choice. When she gets home, she finds the globe is faulty. What is the probability she choose a Shinewell's globe?

Question

A supermarket buys light globes (light bulbs) from three different manufacturers - Brightlight (35%), Glowglobe (20%) and Shinewell (45%). In the past, the supermarket has found that 1% of Brightlight's globes are faulty, and that 1.5% of each of Glowglobe's and Shinewell's globe are faulty. A customer buys a globe without looking at the manufacturer's name - in other words, it's random choice. When she gets home, she finds the globe is faulty. What is the probability she choose a Shinewell's globe? 

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