To find the probability that the florist randomly selects a tulip for a bouquet, we need to use the data provided in the table. Here’s the step-by-step solution:
1. Understand the Table: We have a table showing the number of different types of flowers (roses and tulips) by their color. The total number of each type of flower and the overall total is also provided.
[tex]\( \begin{array}{|c|c|c|c|c|}
\hline & \text{Red} & \text{Pink} & \text{White} & \text{Total} \\
\hline \text{Roses} & 25 & 8 & 16 & 49 \\
\hline \text{Tulips} & 11 & 14 & 12 & 37 \\
\hline \text{Total} & 36 & 22 & 28 & 86 \\
\hline
\end{array} \)[/tex]
2. Identify the Total Number of Flowers: The total number of flowers is given at the bottom right of the table.
Total number of flowers = 86
3. Identify the Number of Tulips: The number of tulips is given in the row labeled “Tulips” and the column labeled “Total.”
Number of tulips = 37
4. Calculate the Probability: The probability of an event is given by the ratio of the number of favorable outcomes to the total number of outcomes. Here, the favorable outcomes are selecting a tulip, and the total outcomes are the total number of flowers.
Probability of selecting a tulip = [tex]\(\frac{\text{Number of Tulips}}{\text{Total Number of Flowers}}\)[/tex]
[tex]\[
P(\text{tulip}) = \frac{37}{86}
\][/tex]
5. Evaluate the Correct Option: The calculated probability matches one of the provided options.
Therefore, the correct answer is:
[tex]\[ P(\text{tulip}) = \frac{37}{86} \][/tex]
