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?
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?
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