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Assume Game of Drones is an American fantasy drama television series that isknown for killing off important characters at unexpected times. The current season of

Assume "Game of Drones" is an American fantasy drama television series that isknown for killing off important characters at unexpected times. The current season of Game of Drones is scheduled to have 6 episodes. One of the main charters in this series is named Slance Rinister.

Before the current season first aired, aTV analyst came up with the following probabilities (listed in the table below) that the character Slance Rinister will die in each of the 6 episodes. NOTE: if he doesn't die then he would live past the conclusion of the last episode.

Episode Number Slance Dies

1

2

3

4

5

6

lives through the entire current season

Probability of Slance Death in the each episode

0.03

0.1

0.15

0.1

0.06

0.28

Last weekend episode 2 was aired and Slance Rinister was still alive. What is the conditional probability Slance Rinister lives through the completion of the current season given that at the end of episode 2 he is still alive?

Keep at least 3 decimal places in your final answer.

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