Two photographs are randomly selected from a pack of $12$ colours and eight black and white photographs. Find the probability that the second photograph selected is colour, given that the first is colour.

Two photographs are randomly selected from a pack of $12$ colour and eight black and white photographs. Find the probability that the second photograph selected is colour, given that the first is black and white.

The Venn diagram opposite shows the responses of $40$ girls who were asked if they have an interest in a career in nursing $\left(N\right)$, dentistry $\left(D\right)$ or human rights $\left(H\right)$.

Find the probability that a randomly selected girl has an interest in human rights, given that she has an interest in nursing.

The Venn diagram opposite shows the responses of $40$ girls who were asked if they have an interest in a career in nursing $\left(N\right)$, dentistry $\left(D\right)$ or human rights $\left(H\right)$.

Find the probability that a randomly selected girl has an interest in nursing, given that she has no interest in dentistry.

The Venn diagram opposite shows the responses of $40$ girls who were asked if they have an interest in a career in nursing $\left(N\right)$, dentistry $\left(D\right)$ or human rights $\left(H\right)$.

Describe any group of girls for whom dentistry is the least popular career of interest.

The quiz marks of $40$ students are represented in the following bar chart.

Two students are selected at random from the group. Find the probability that the second student scored more than $5$ , given that the first student did not score more than $5$.

The quiz marks of $40$ students are represented in the following bar chart.

Two students are selected at random from the group. Find the probability that the second student:

scored more than $7$ , given that the first student scored more than $7$ .

The histogram shown represents the times taken, in minutes, for $115$ men to complete a task. Two men are selected at random from the group. Find the probability that the:

first man took less than $1$ minute, given that he took less than $3$ minutes

The histogram shown represents the times taken, in minutes, for $115$ men to complete a task. Two men are selected at random from the group. Find the probability that the:

second man took less than $6$ minutes, given that the first man took less than $1$ minute.