List of top Mathematics Questions on Baye's Theorem

Smoking increases the risk of lung problems. A study revealed that \(170\) in \(1000\) males who smoke develop lung complications, while \(120\) out of \(1000\) females who smoke develop lung related problems. In a colony, \(50\) people were found to be smokers of which \(30\) are males. A person is selected at random from these \(50\) people and tested for lung related problems. Based on the given information, answer the following question:

A survey was conducted to find out the success rate of students who qualified the entrance examination by dropping a year after class XII.

As per the data collected, 40% students appearing in the examination were dropouts and the remaining students were regular students of class XII. Of the dropouts, 5% qualify the examination while 10% of the regular students qualify the examination.

A card is picked at random from a pack of 52 playing cards. Given that the picked card is a king, the probability of this card to be a card of spade is: