DP Mathematics: Analysis and Approaches Questionbank

Having spent $25$ minutes attempting the jigsaw puzzle, a randomly chosen person had not yet completed the puzzle.

Find the probability that this person will take more than $30$ minutes to complete the jigsaw puzzle.

Given that a flight between the two cities takes longer than $80$ minutes, find the probability that it takes less than $82$ minutes.

A box is chosen at random and a ball is drawn. Find the probability that the ball is red.

Let $A$ be the event that “box 1 is chosen” and let $R$ be the event that “a red ball is drawn”.

Determine whether events $A$ and $R$ are independent.

Find $\text{P}\left(A\text{'} \overline{) B\text{'}}\right)$.

Given that $\text{P}(A\cap B)=x$, find the value of $x$.

Given that a randomly selected muffin weighs less than $61 \text{g}$, find the probability that it is chocolate.

Let A and B be events such that $\text{P}\left(A\right)=0.5$, $\text{P}\left(B\right)=0.4$ and $\text{P}\left(A\cup B\right)=0.6$.

Find $\text{P}\left(A|B\right)$.