Problem

A spinner has \(8~\text{equal}~\text{sections}\): \(3\) red, \(3\) blue, \(1\) green, and \(1\) yellow. Compare the theoretical probability of landing on blue to the experimental probability if the spinner landed on blue \(15~\text{times}\) in \(40~\text{spins}\). Are the \(\text{two}~\text{probabilities}\) equal, or is \(\text{one}~\text{greater}\)?

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The theoretical probability is greater because 3/8 is greater than 15/40.

The experimental probability is greater because 15/40 is greater than 3/8.

The experimental probability is greater because the theoretical probability of blue is 1/8.

They are equal. The theoretical probability is 3/8, and the experimental probability 15/40 simplifies to 3/8.

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