Traditional Culture Encyclopedia - Tourist attractions - The probability of traveling to Beijing is 60%, the probability of going to Xi 'an is 40%, and 30% will go to both. What is the probability that passengers will go to at least one place?
The probability of traveling to Beijing is 60%, the probability of going to Xi 'an is 40%, and 30% will go to both. What is the probability that passengers will go to at least one place?
Divide into four categories
Only go to Beijing
Only go to Xi 'an.
Go all out.
Don't go.
Only these four kinds, these four kinds of probabilities will not overlap and conflict, and the four kinds of probabilities add up to 1.
Only go to Beijing+all go =60%
Go to Xi 'an only+go all =40%
Both =30%
Calculated, only going to Beijing =30%, only going to Xi 'an = 10%, not going at all =30%.
So the probability of going to at least one place = 100%- not going at all =70%.
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