The Venn diagram shows the probabilities associated with three events $S$ , $T\,$ and $U$ , representing materials found in a recycling center. The probability of a sample containing only $S\,$ is 0.2, only $T\,$ is 0.05, and only $U\,$ is 0.25. The intersection $\cap T\,$ is $q\,$ and $\cap U\,$ is $p$ . There is no overlap between events $S\,$ and $U$ . The probability of a sample containing none of these materials is $r$ .

Venn diagram with events S, T and U, where S and U do not overlap. Regions are labelled 0.2, q, 0.05, p, 0.25 and r.

Write down the two events that are mutually exclusive.

Given that $P (T ∣ U) = 0.5$ , find the value of $p$ .

Given also that $S\,$ and $T\,$ are independent, find the values of $q\,$ and $r$ .

Venn diagram with events S, T and U, where S and U do not overlap. Regions are labelled 0.2, q, 0.05, p, 0.25 and r.

Write down the two events that are mutually exclusive.

Given that $P (T ∣ U) = 0.5$ , find the value of $p$ .

Given also that $S\,$ and $T\,$ are independent, find the values of $q\,$ and $r$ .

2.3 Probability

Question 48

Markscheme

2.3 Probability

Question 48

Markscheme

2.3 Probability

Question 48

2.3 Probability Questions

2.3 Probability

Question 48

2.3 Probability Questions