You are knitting a hat, and you want it to have 2 different colors from the 3 color choices of red, black, and blue. You randomly select the yarn colors while you knit. What is the probability that the first color is blue and the second color is red?

Step-by-step explanation:

Given: Three yarn colors are red, black, and blue

To find: probability that the first color is blue and the second color is red

Solution:

Probability is the chance of occurrence of some event.

Probability = number of favourable outcomes/Total number of outcomes

Probability that the first color is blue =

probability that the second color is red if the first color is blue =

So,

probability that the first color is blue and the second color is red =

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.