2.3.2 Conditional probability (A-level only)

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Question 121

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:

$P (C)$

[1]

$\cap G)')$

[2]

$P (G ∣ P)$

[2]

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 $A$ .

[1]

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

[2]

2.3.2 Conditional probability (A-level only)

Question 121

	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:

$P (C)$

[1]

$\cap G)')$

[2]

$P (G ∣ P)$

[2]

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

[1]

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

[2]

2.3.2 Conditional probability (A-level only)

Question 121

Markscheme

2.3.2 Conditional probability (A-level only)

Question 121

Markscheme

2.3.2 Conditional probability (A-level only)

Question 121

2.3.2 Conditional probability (A-level only) Questions

2.3.2 Conditional probability (A-level only)

Question 121

2.3.2 Conditional probability (A-level only) Questions