Use the table.
Style: Color:
regular light blue
loose fit indigo
boot cut washed
slim fit black
blue
a.How many possible pairs of jeans are there if each pair has one style and one color?
b.Suppose you have one pair of jeans of each possible style and color in the table. What is the probability of choosing a pair of black jeans at random?
A. 30 pairs;1/4
B. 9 pairs;1/20
C. 20 pairs;1/5
D. 4 pairs;1/5
Letter c?
here are 4 styles
each has possible 5 colors
4*5 = 20
there are 5 colors so 1/5
c. The probability of choosing a pair of black jeans at random would be 4 pairs out of 20 pairs, so the probability would be 4/20 or simplified as 1/5. Therefore, the answer is D. 4 pairs; 1/5.
To answer question (a), we need to find the total number of possible pairs of jeans.
Given that there are 4 styles (regular, loose fit, boot cut, slim fit) and 5 colors (light blue, indigo, washed, black, blue), we can calculate the total number of pairs by multiplying the number of styles by the number of colors.
Total number of pairs = 4 styles * 5 colors = 20 pairs
Therefore, there are 20 possible pairs of jeans if each pair has one style and one color.
Now, let's move on to question (b).
To calculate the probability of choosing a pair of black jeans randomly, we need to determine how many pairs of black jeans there are in the table and divide it by the total number of possible pairs.
From the table, we can see that black appears twice under the "color" column. So, there are 2 pairs of black jeans.
To find the probability, divide the number of pairs of black jeans (2) by the total number of possible pairs (20).
Probability of choosing a pair of black jeans at random = 2 pairs of black jeans / 20 total pairs of jeans
Simplifying this fraction gives the answer as 1/10.
Therefore, the correct answer is (B) 9 pairs; 1/20.
Apologies, but question (c) is not provided.