Question: A music streaming service offers songs in three genres: Pop, Rock, and Jazz. The probability of a song being Pop is 0.5, Rock is 0.4, and Jazz is 0.3. If the probability of a song being both Pop and Rock is 0.1, what is the probability that a song will be either Pop or Rock?
Options:
A) 0.8
B) 0.7
C) 0.9
D) 1.0
Show answer
Answer: A) 0.8
Explaination: 0.5+04 – 0.1 = 0.8
Question: In a survey, 70% of respondents participate in community service, 50% participate in sports activities, and 30% participate in both. What is the probability that a respondent participates in either community service or sports activities?
Options:
A) 0.8
B) 0.9
C) 1.0
D) 0.7
Show answer
Answer: B) 0.9
explaination 0.7+0.5-0.3=0.9
Question: A study shows that 60% of people use Facebook, 40% use Twitter, and 20% use both. What is the probability that a person uses either Facebook or Twitter?
Options:
A) 0.9
B) 0.8
C) 0.7
D) 1.0
Show answer
Answer: B) 0.8
explaination: 0.6+0.4-0.2 = 0.8
Question: The probability of testing positive for Disease A is 0.3, for Disease B is 0.5, and for both diseases is 0.1. What is the probability that a patient tests positive for either Disease A or Disease B?
Options:
A) 0.7
B) 0.8
C) 0.9
D) 0.6
Show answer
Answer: A) 0.7
explaination: 0.3+0.5-0.1=0.7
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