A person is playing a gambling game with a friend.In this game, there are two urns.Urn 1 contains 12 green balls and 5 red balls.Urn 2 contains 5 green balls and 4 red balls.The game starts with the person tossing a biased coin that comes up heads with probability 0.24 and tails with probability 1-0.24.If the coin comes up heads, the person draws two balls randomly and without replacement from urn 1.Otherwise, they draw two balls randomly and without replacement from urn 2.

The person has flipped the coin and drawn the two balls.Both balls are red.What is the probability the coin toss was heads?

(Give response to at least 3 decimal places.Give only the numeric response, and not any extra characters or symbols.)