QUESTIONS
Question 1
If A and B are events with P(A)=0.8, P(A OR B)=0.87, P(A AND B)=0.23, find P(B).
Question 2
If A and B are events with P(A)=0.5, P(B)=0.3, P(A OR B)=0.67, find P(A AND B).
Question 3
If a police officer pulls over someone for speeding, the police officer can either give a ticket or a warning, so it is impossible for a police officer to give a ticket and a warning for speeding. If the probability that a police officer will give a warning for speeding is 0.03, and the probability that a police officer will give a ticket or a warning for speeding is 0.52, what is the probability that a police officer will give a ticket for speeding?
Question 4
An electric company has to track on-time payments and late payments for each customer monthly. It is impossible for a customer to pay on-time and late each month. If the probability that a customer pays on-time each month is 0.55, and the probability that a customer pays late or on-time each month is 0.82, what is the probability that a customer pays late each month?
Question 5
If A and B are events with P(A)=0.4, P(A OR B)=0.89, P(A AND B)=0.01, find P(B).
Question 6
If the probability of a student selling brownies is 0.2, the probability of selling rootbeer floats is 0.4, and the probability of selling brownies and rootbeer floats is 0.01, what is the probability of a student selling brownies or rootbeer floats?
Question 7
Suppose A and B are mutually exclusive events, and that P(B)=0.03 and P(A OR B)=0.52. Find P(A).
Question 8
Suppose A and B are mutually exclusive events, and that P(B)=0.24 and P(A OR B)=0.27. Find P(A).
ANSWERS:
Question 1
If A and B are events with P(A)=0.8, P(A OR B)=0.87, P(A AND B)=0.23, find P(B).
Answer:
0.3
Question 2
If A and B are events with P(A)=0.5, P(B)=0.3, P(A OR B)=0.67, find P(A AND B).
Answer:
0.13
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