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. what is the probability that a randomly selected bow tie is shaped like a butterfly and is made of suede? simplify any fractions.\n| |butterfly|batwing|\n|--|--|--| \n|cotton|5|6|\n|suede|3|4|

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

Answer

Explanation:

Step1: Find total number of bow - ties

We add up all the values in the table. The total number of bow - ties is $6 + 5+4 + 3=18$.

Step2: Find number of butterfly - shaped and suede bow - ties

The number of butterfly - shaped and suede bow - ties is 3.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So the probability that a randomly selected bow - tie is shaped like a butterfly and is made of suede is $\frac{3}{18}=\frac{1}{6}$.

Answer:

$\frac{1}{6}$