An electronics store collects point$-$of$-$sales data for each transaction. The table below contains a sample of the data in which binary variables Keyboard, Webcam, Mouse, USB drive, and Headphones are used to indicate whether a customer purchased the product $($A value of $"1"$ indicates that a customer purchased the product, while a value of $"0"$ indicates that the customer did not purchase the product$).$

Transaction Keyboard Webcam Mouse USB drive Headphones

$110101$

$211100$

$300001$

$410000$

Answer the following questions based on the above information. Round the final answer to two decimal places, e$.$g$.,0\mathrm{.}12,$ when necessary.

Question $6(5$ points$)$

The matching coefficient between transactions $1$ and $3=\_\_\_\_\_\_\_\_\_\_.$

Question $6$ options:

$0\mathrm{.}33$

$0\mathrm{.}4$

$0\mathrm{.}5$

$0\mathrm{.}25$

$0\mathrm{.}2$

$0\mathrm{.}6$

Question $7(5$ points$)$

Based on the matching coefficient, which two transactions are the most dissimilar?

Question $7$ options:

Transactions $3$ and $4$

Transactions $1$ and $3$

Transactions $1$ and $2$

Transactions $1$ and $4$

Transactions $2$ and $4$

Transactions $2$ and $3$

Question $8(5$ points$)$

Based on the Jaccard's coefficient, which two transactions are the most similar?

Question $8$ options:

Transactions $1$ and $2$

Transactions $1$ and $3$

Transactions $3$ and $4$

Transactions $2$ and $4$

Transactions $2$ and $3$

Transactions $1$ and $4$

Question $9(5$ points$)$

The Jaccard's coefficient between transactions $2$ and $4=\_\_\_\_\_\_\_\_\_\_.$

Question $9$ options:

$0\mathrm{.}33$

$0\mathrm{.}5$

$0\mathrm{.}2$

$0\mathrm{.}6$

$0\mathrm{.}4$

$0$