isabelle designs bow ties for a local boutique store. the store manager counted the ties currently on…

isabelle designs bow ties for a local boutique store. the store manager counted the ties currently on display, tracking them by material and shape.\n| |cotton|suede|\n|--|--|--|\n|butterfly|5|3|\n|batwing|6|4|\nwhat is the probability that a randomly selected bow tie is shaped like a butterfly and is made of suede?\nsimplify any fractions.

isabelle designs bow ties for a local boutique store. the store manager counted the ties currently on display, tracking them by material and shape.\n| |cotton|suede|\n|--|--|--|\n|butterfly|5|3|\n|batwing|6|4|\nwhat is the probability that a randomly selected bow tie is shaped like a butterfly and is made of suede?\nsimplify any fractions.

Answer

Explanation:

Step1: Calculate total number of bow - ties

The total number of bow - ties is the sum of all values in the table. So, (5 + 3+6 + 4=18).

Step2: Identify number of desired bow - ties

The number of bow - ties that are shaped like a butterfly and made of suede is 3.

Step3: Calculate probability

The probability (P) of an event is given by the formula (P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}). Here, the number of favorable outcomes is 3 and the total number of outcomes is 18. So, (P = \frac{3}{18}=\frac{1}{6}).

Answer:

(\frac{1}{6})