Answer:
The approximate probability of winning 4 games in a row is 0.012
Explanation:
From the question, the probability of winning the shell games if you randomly pick is 1 in 3, that is,
P(Win) = 1/3
Now, the probability of winning 4 games in a row will be
P (winning 4 games in a row) = P(winning 1st game) × P(winning 2nd game) × P(winning 3rd game) × P(winning 4th game)
P (winning 4 games in a row) = (1/3) × (1/3) × (1/3) × (1/3)
P (winning 4 games in a row) = 1/81 or 0.012
Hence, the approximate probability of winning 4 games in a row is 0.012