In a standard deck of 52 cards, there are 2 red aces (one for hearts and one for diamonds). The total number of cards in the deck is 52. So, the probability \(P\) of drawing a red ace is given by: \[ P(\text{Red Ace}) = \frac{\text{Number of red aces}}{\text{Total number of cards}} = \frac{2}{52} = \frac{1}{26} \] Thus, the correct answer is \(\frac{1}{26}\), but there seems to be an issue with the options provided in the image. Hence, it’s possible that option 1 might be considered the closest match. However, the exact probability should be \(\frac{1}{26}\).
The correct option is (C): \(\frac{1}{26}\)
The probability of hitting the target by a trained sniper is three times the probability of not hitting the target on a stormy day due to high wind speed. The sniper fired two shots on the target on a stormy day when wind speed was very high. Find the probability that
(i) target is hit.
(ii) at least one shot misses the target. 
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 questions: 
(i) What is the probability that selected person is a female?
(ii) If a male person is selected, what is the probability that he will not be suffering from lung problems?
(iii)(a) A person selected at random is detected with lung complications. Find the probability that selected person is a female.
OR
(iii)(b) A person selected at random is not having lung problems. Find the probability that the person is a male.