The universal set $U$ is defined as the set of positive integers less than or equal to $15$. $M$ is the set of integers that are in set $U$ and are multiples of $3$. $F$ is the set of integers that are in set $U$ and are factors of $30$. List the elements of $M$.

The universal set $U$ is defined as the set of positive integers less than or equal to $15$. $M$ is the set of integers that are in set $U$ and are multiples of $3$. $F$ is the set of integers that are in set $U$ and are factors of $30$. List the elements of $F$.

The universal set $U$ is defined as the set of positive integers less than or equal to $15$. $M$ is the set of integers that are in set $U$ and are multiples of $3$. $F$ is the set of integers that are in set $U$ and are factors of $30$. Place the elements of $M$ and $F$ in the appropriate regions of a Venn diagram.

The universal set $U$ is defined as the set of positive integers less than or equal to $15$. $M$ is the set of integers that are in set $U$ and are multiples of $3$. $F$ is the set of integers that are in set $U$ and are factors of $30$. A number is chosen at random from $U$. Find the probability that the number is both a multiple of $3$ and a factor of $30$.

The universal set $U$ is defined as the set of positive integers less than or equal to $15$. $M$ is the set of integers that are in set $U$ and are multiples of $3$. $F$ is the set of integers that are in set $U$ and are factors of $30$. A number is chosen at random from $U$. Find the probability that the number is neither a multiple of $3$ nor a factor of $30$.

In a town, $10\%$ of the population watch the news at $1\mathrm{pm}, 30\%$of people watch the news at $6\mathrm{pm}$ and $40\%$ of people watch the news at $9\mathrm{pm}$.

It is found that $5\%$watch at both $6\mathrm{pm}$ and $9\mathrm{pm}, 4\%$ watch at both $1\mathrm{pm}$ and $9\mathrm{pm}, 3\%$ watch at $1\mathrm{pm}$ and $6\mathrm{pm},$ and $2\%$ of the people watch all three news shows.

Complete a Venn diagram to show this information. For this Venn diagram, you will need three circles, one for each time the news is on.

In a town, $10\%$ of the population watch the news at $1\mathrm{pm}, 30\%$of people watch the news at $6\mathrm{pm}$ and $40\%$ of people watch the news at $9\mathrm{pm}$.

It is found that $5\%$watch at both $6\mathrm{pm}$ and $9\mathrm{pm}, 4\%$ watch at both $1\mathrm{pm}$ and $9\mathrm{pm}, 3\%$ watch at $1\mathrm{pm}$ and $6\mathrm{pm},$ and $2\%$ of the people watch all three news shows.

Find the probability that a person chosen at random from the town watches only the news at $9 \mathrm{pm}$.

In a town, $10\%$ of the population watch the news at $1\mathrm{pm}, 30\%$of people watch the news at $6\mathrm{pm}$ and $40\%$ of people watch the news at $9\mathrm{pm}$.

It is found that $5\%$watch at both $6\mathrm{pm}$ and $9\mathrm{pm}, 4\%$ watch at both $1\mathrm{pm}$ and $9\mathrm{pm}, 3\%$ watch at $1\mathrm{pm}$ and $6\mathrm{pm},$ and $2\%$ of the people watch all three news shows.

Find the probability that a person chosen at random from the town watches only the news at $6 \mathrm{pm}$.

In a town, $10\%$ of the population watch the news at $1\mathrm{pm}, 30\%$of people watch the news at $6\mathrm{pm}$ and $40\%$ of people watch the news at $9\mathrm{pm}$.

It is found that $5\%$watch at both $6\mathrm{pm}$ and $9\mathrm{pm}, 4\%$ watch at both $1\mathrm{pm}$ and $9\mathrm{pm}, 3\%$ watch at $1\mathrm{pm}$ and $6\mathrm{pm},$ and $2\%$ of the people watch all three news shows.

Find the probability that a person chosen at random from the town do not watch news at all.