The frequency table shows the results of tossing a ball 24 times into four colored sections on a carnival game. Based on the data table, how many times will the ball most likely land in the yellow section when it’s tossed 200 times.
The ball will most likely land on the yellow section 33 times
The given parameters are:
[tex]\mathbf{Tosses = 24}[/tex]
[tex]\mathbf{Yellow = 4}[/tex]
The probability of yellow is calculated as:
[tex]\mathbf{p =\frac{Yellow}{Tosses}}[/tex]
So, we have:
[tex]\mathbf{p =\frac{4}{24}}[/tex]
When the ball is tossed 200 times, the expected number of times it lands on the yellow section is:
[tex]\mathbf{Yellow = 200 \times \frac{4}{24}}[/tex]
So, we have:
[tex]\mathbf{Yellow = \frac{800}{24}}[/tex]
[tex]\mathbf{Yellow = 33}[/tex] --- approximated
Hence, the ball will most likely land on the yellow section 33 times
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