Use the spinner shown.  It is equally probable that the pointer will land on any one of the six regions.  If the pointer lands on a​ borderline, spin again.  If the pointer is spun​ twice, find the probability that it will land on
        blue and then grey
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Part 1
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Part 1
Find the probability that the spinner will land on blue and then grey.
  
enter your response here  ​(Type an integer or a simplified​ fraction.)

To find the probability that the spinner will land on blue and then grey when spun twice, we'll approach this step by step.

### Step 1: Determine the probability of landing on blue.
Since the spinner is equally likely to land on any of the six regions, the probability of landing on any single region is:

\[
P(\text{blue}) = \frac{1}{6}
\]

### Step 2: Determine the probability of landing on grey.
Similarly, the probability of landing on grey is:

\[
P(\text{grey}) = \frac{1}{6}
\]

### Step 3: Calculate the probability of landing on blue followed by grey.
The probability of two independent events (landing on blue first and then grey) occurring in sequence is the product of their individual probabilities:

\[
P(\text{blue and then grey}) = P(\text{blue}) \times P(\text{grey}) = \frac{1}{6} \times \frac{1}{6} = \frac{1}{36}
\]

Thus, the probability that the spinner will land on blue and then grey when spun twice is:

\[
\boxed{\frac{1}{36}}
\]

Would you like more details on this solution, or do you have any questions? Here are some related questions you might find interesting:

1. What is the probability of landing on red and then yellow?
2. How would the probability change if the spinner had eight regions instead of six?
3. What is the probability of landing on blue both times when spun twice?
4. How would you calculate the probability of landing on blue or grey in one spin?
5. What if the spinner has different-sized regions—how would that affect the probabilities?

**Tip:** When dealing with independent events, remember to multiply the probabilities of each event to find the combined probability.

Learn how to calculate the probability of landing on blue and then grey when spinning a six-region spinner twice. This problem involves understanding probability of independent events and their sequential occurrence.

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