Question: The Check Engine light on your car has turned on. Without the information from the light, you believe that there is a 10% chance that

The Check Engine light on your car has turned on. Without the information from the light, you believe that there is a 10% chance that your car has a serious engine problem. You learn that if the car has such a problem, the light will come on with probability 0.99, but if the car does not have a serious problem, the light will still come on, under circumstances similar to yours, with probability 0.3. Find the probability that you have a serious engine problem, given that the Check Engine light has turned on

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