Question

In a T-maze, a rat has the choice to either turn LEFT or RIGHT. The first...

In a T-maze, a rat has the choice to either turn LEFT or RIGHT. The first time it enters the maze, the probability it turns RIGHT (R1) is the same as the probability of turning left (L1): 0.50. If it turns LEFT it is given food, if it turns RIGHT it is given a shock. On the second trial, if the rat was given food on the first trial (L1) the probability it turns LEFT (L2) is now 0.68. If the rat was given a shock on the first trial (R1), the probability it will turn LEFT on the second trial (L2) is now 0.84.

You are told that the rat turned RIGHT on the second trial. What is the probability that it turned RIGHT on the first trial? Enter your solution to 3 decimals.

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