This question is based on the probability. Therefore, the approximate probability of winning 4 games in a row is [tex]\dfrac{1}{81}[/tex].
Given:
The probability of winning the shell games if you randomly pick is 1 in 3.
We need to calculate the approximate probability of winning 4 games in a row.
According to the question,
By using the formula of probability,
[tex]Probability = \dfrac{Number \, of \, favourable \, outcome}{Total \, number \,of\, Outcome}[/tex]
It is given that, probability of winning is 1 in 3.
Now, calculating the approximate probability of winning 4 games in a row is,
[tex]\dfrac{1}{3} \times\dfrac{1}{3} \times \dfrac{1}{3} \times \dfrac{1}{3} = \dfrac{1}{81}[/tex]
Therefore, the approximate probability of winning 4 games in a row is [tex]\dfrac{1}{81}[/tex].
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https://brainly.com/question/11234923
