Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Quantifying Randomness: Probability, Exercise 11: Exercise 8C

If $U=\{1,2,3,4,5,6,7,8,9,10\}$, $A=\{2,4,6,8,10\}$ and $B=\{3,6,9\}$, list the members of $A^{\text{'}}\cup B^{\text{'}}$.

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 $30$. 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.

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.