6. Marine Conservation

Pollution Management — Quiz

Test your understanding of pollution management with 5 practice questions.

Practice Questions

Question 1

Given three events A, B, and C with probabilities P(A)=0.5, P(B)=0.6, P(C)=0.4 and pairwise intersections P(A∩B)=0.3, P(A∩C)=0.2, P(B∩C)=0.25, and P(A∩B∩C)=0.1, what is the probability that exactly two of the events occur?

Question 2

For events A, B, and C with P(A)=0.2, P(B)=0.3, P(C)=0.4, P(A∧B)=0.1, P(A∧C)=0.12, P(B∧C)=0.08, and P(A∧B∧C)=0.02, what is P(A∪B∪C)?

Question 3

A disease has prevalence 2%. A diagnostic test has sensitivity 95% and specificity 90%. What is the probability a person has the disease given a positive test result?

Question 4

A fair six-sided die is rolled 5 times. What is the probability of getting exactly two sixes?

Question 5

In a 5-card hand dealt from a standard 52-card deck, what is the probability of getting exactly one Ace?