ruben is the proud owner of an eclectic bow tie collection. he keeps track of how many bow ties he has, and…

ruben is the proud owner of an eclectic bow tie collection. he keeps track of how many bow ties he has, and organizes them by pattern and material.\n\n| |velvet|cotton|\n|--|--|--|\n|zigzags|4|3|\n|swirls|3|1|\n\nwhat is the probability that a randomly selected bow tie is made of cotton given that the bow tie is decorated with zigzags?\n\nsimplify any fractions.

ruben is the proud owner of an eclectic bow tie collection. he keeps track of how many bow ties he has, and organizes them by pattern and material.\n\n| |velvet|cotton|\n|--|--|--|\n|zigzags|4|3|\n|swirls|3|1|\n\nwhat is the probability that a randomly selected bow tie is made of cotton given that the bow tie is decorated with zigzags?\n\nsimplify any fractions.

Answer

Answer:

$\frac{3}{7}$

Explanation:

Step1: Identify relevant values

Number of zig - zag cotton bow ties = 3, number of zig - zag bow ties = 4 + 3 = 7

Step2: Apply conditional probability formula

Probability = $\frac{\text{Number of zig - zag cotton bow ties}}{\text{Number of zig - zag bow ties}}=\frac{3}{7}$