Question

the two - way table shows data for a florists inventory by flower and color.
what is the probability that the florist randomly selects a tulip for a bouquet?
options:

• $p(\text{tulip}) = \frac{11}{37}$
• $p(\text{tulip}) = \frac{37}{86}$
• $p(\text{tulip}) = \frac{37}{49}$
• $p(\text{tulip}) = \frac{49}{86}$

the two - way table is as follows:

	red	pink	white	total
tulips	11	14	12	37
total	36	22	28	86

Explanation:

Step1: Recall Probability Formula

Probability of an event \( P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \). For selecting a tulip, favorable outcomes are number of tulips, total outcomes are total number of flowers.

Step2: Identify Values

From the table, number of tulips (favorable) is \( 37 \), total number of flowers (total) is \( 86 \).

Step3: Calculate Probability

Using the formula, \( P(\text{tulip})=\frac{\text{Number of tulips}}{\text{Total number of flowers}}=\frac{37}{86} \).

Answer:

\( P(\text{tulip}) = \frac{37}{86} \) (the option with this probability)