the spinners shown below are each spun one time.
what is the probability that both spinners will land on 2?
a) 1/12
b) 1/6
c) 1/4
d) 1/3

Option A

Step-by-step explanation:

Note that the first spinner has 3 equal sections. Then there are 3 possible results for the first spinner

So the probability of getting a 2 is:

Note that the second spinner has 4 equal sections. Then there are 4 possible results for the second spinner

So the probability of getting a 2 is:

Now, as they are independent events, then the probability of getting a 2 in both spinners is:

Finally

Hello!

The graph y < -2/3x + 2 has a dotted line. That means that any points on the dotted line or not shaded, is not a solution to this inequality. Since we are given 4 choices, we can substitute those values into the given inequality to see if it is true.

A) (0, 2)

2 < -2/3(0) + 2

2 < 2, this is false.

B) (3, 0)

0 < -2/3(3) + 2

0 < -2 + 2

0 < 0, this is false.

C) (0, 0)

0 < -2/3(0) + 2

0 < 2, this is true.

D). (0, 3)

3 < -2/3(0) + 2

3 < 2, this is false.

To check if choice C) (0, 0) is true, we should look at the given graph.

Since (0, 0) is in the shaded area, and is not graphed on the dotted line, therefore, a solution to this linear inequality is C, (0, 0).