In a scientific research facility with 200 doctoral candidates, researchers are categorized by their primary field: Biology, Chemistry, or Physics. The following table summarizes the distribution of researchers and whether they have been awarded a research Grant or Not.

	Grant awarded ( $G$ )	No Grant ( $G^{'}$ )
Biology ( $B$ )	24	36
Chemistry ( $C$ )	42	28
Physics ( $P$ )	30	40

A researcher is selected at random from the facility. Determine:

Let $A\,$ be the event that a researcher has published a first-author article this year. Given that 30% of Biologists have published a first-author article, 10% of Chemists have published a first-author article, and 20% of Physicists have published a first-author article,

describe the structure of a Venn diagram to represent the events $B$ , $C$ , $P\,$ and $A$ .

find the probability that a randomly selected researcher has published a first-author article this year.

	Grant awarded ( $G$ )	No Grant ( $G^{'}$ )
Biology ( $B$ )	24	36
Chemistry ( $C$ )	42	28
Physics ( $P$ )	30	40

A researcher is selected at random from the facility. Determine:

describe the structure of a Venn diagram to represent the events $B$ , $C$ , $P\,$ and $A$ .

find the probability that a randomly selected researcher has published a first-author article this year.

2.2 Conditional Probability

Question 34

Markscheme

2.2 Conditional Probability

Question 34

Markscheme

2.2 Conditional Probability

Question 34

2.2 Conditional Probability Questions

2.2 Conditional Probability

Question 34

2.2 Conditional Probability Questions