One student is randomly selected from a school that has $837$ boys. The probability that a girl is selected is $\frac{4}{7}$. Find the probability that a particular boy is selected.

Find the probability that the number rolled with an ordinary fair die is:

a prime number or a $4$

Find the probability that the number rolled with an ordinary fair die is:

a square number or a multiple of $3$

Find the probability that the number rolled with an ordinary fair die is:

more than $3$ or a factor of $8$ .

A group of $40$ students took a test in Economics. The following Venn diagram shows that $19$ boys $\left(\mathrm{B}\right)$ took the test and that seven students failed the test $\left(F\right)$

Describe the $21$ students who are members of the set $B^{\text{'}}$.

A group of $40$ students took a test in Economics. The following Venn diagram shows that $19$ boys $\left(\mathrm{B}\right)$ took the test and that seven students failed the test $\left(F\right)$

Find the probability that a randomly selected student is a boy or someone who failed the test.

The following table gives information about all the animals on a farm.

Find the probability that a randomly selected animal is:

male or a goat

The following table gives information about all the animals on a farm.

Find the probability that a randomly selected animal is:

a female or a sheep.

The following table gives information about all the animals on a farm.

a male or goat and a sheep or female.

Find a different way of describing each of the two types of animal.