Conditional Probability

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Question 109

An IT security firm analyzes 250 detected cyber-threats over a weekend. Threats are classified into three categories: Malware ( $M$ ), Phishing ( $P$ ), and Denial of Service ( $D$ ).

140 involve Malware,
120 involve Phishing,
105 involve Denial of Service,
65 involve both Malware and Phishing,
55 involve both Phishing and Denial of Service,
45 involve both Malware and Denial of Service,
20 involve all three categories.

Draw a Venn diagram to represent this information.

[3]

A threat is selected at random from the database. Find the probability that this threat involves:

none of the three categories,

[1]

A threat is selected at random from the database. Find the probability that this threat involves:

Denial of Service only.

[1]

Threats categorized as 'Advanced Persistent Threats' (APT) are those that involve both Phishing and Denial of Service. Given that a randomly selected threat is an APT,

find the probability that this threat also involves Malware.

[2]

Conditional Probability

Question 109

An IT security firm analyzes 250 detected cyber-threats over a weekend. Threats are classified into three categories: Malware ( $M$ ), Phishing ( $P$ ), and Denial of Service ( $D$ ).

140 involve Malware,
120 involve Phishing,
105 involve Denial of Service,
65 involve both Malware and Phishing,
55 involve both Phishing and Denial of Service,
45 involve both Malware and Denial of Service,
20 involve all three categories.

Draw a Venn diagram to represent this information.

[3]

A threat is selected at random from the database. Find the probability that this threat involves:

none of the three categories,

[1]

A threat is selected at random from the database. Find the probability that this threat involves:

Denial of Service only.

[1]

Threats categorized as 'Advanced Persistent Threats' (APT) are those that involve both Phishing and Denial of Service. Given that a randomly selected threat is an APT,

find the probability that this threat also involves Malware.

[2]

Conditional Probability

Question 109

Conditional Probability Questions

Conditional Probability

Question 109

Conditional Probability Questions