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

keenan 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 batwing or is made of cotton? simplify any fractions.

keenan 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 batwing or is made of cotton? simplify 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 + 1+7 + 5=18).

Step2: Calculate number of batwing - shaped or cotton bow - ties

Number of batwing - shaped bow - ties is (7 + 5 = 12). Number of cotton bow - ties is (5+7 = 12). But the batwing - shaped cotton bow - ties ((7)) are double - counted. So, the number of batwing - shaped or cotton bow - ties is (12+12 - 7=17).

Step3: Calculate the probability

The probability (P) that a randomly selected bow - tie is shaped like a batwing or is made of cotton is the number of favorable outcomes divided by the total number of outcomes. So, (P=\frac{17}{18}).

Answer:

(\frac{17}{18})