Suppose twin brothers, Lim and Jim are taking part in an experiment called 'Twin's

Telepathy Test'. In this test, 5 candles of different colors are shown to both the brothers

in the beginning. Then, the twins are put into two different rooms and the candles are

given to Jim. He picks a candle himself, presses a buzzer to let Lim know that one

candle's been picked without telling him the color of the candle. Then Jim tries to

connect to Lim through his mind and transmit the name of the color to Lim telepathically.

Now, Lim has to guess the color of the candle. This goes on for 5 times for all five

candles.

a. What is the probability that Lim makes exactly 4 right guesses?

b. The same experiment is repeated, but this time after each wrong guess Lim makes,

the correct answer is shown to him. Now what is the probability that Lim makes

exactly 4 right guesses?