What is the probability that a point chosen at random on the grid will lie in the shaded region? 36%
40%
64%
60%

Given:

A grid with a shaded region.

To find:

The probability that a point chosen at random on the grid will lie in the shaded region.

Solution:

We have,

Total number of small boxes = 100

Number of blue boxes (shaded region) = 36

Now,

probability that a point chosen at random on the grid will lie in the shaded region is

To find the probability in percent, multiply it by 100.

Therefore, the correct option is A.

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.

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