When you are calculating the probability of two independent events happening tog
ID: 3200285 • Letter: W
Question
When you are calculating the probability of two independent events happening together, (i.e. the probability of A and B), which of the following is true? (Assume neither probability is 1)
The probability of both events happening together (A and B) is less than each individual probability
The probability of both events happening together (A and B) is greater than each individual probability
The probability of both events happening together (A and B) can be either less than or greater than each individual probability
You don't have enough information to answer this question
The probability of both events happening together (A and B) is less than each individual probability
The probability of both events happening together (A and B) is greater than each individual probability
The probability of both events happening together (A and B) can be either less than or greater than each individual probability
You don't have enough information to answer this question
Explanation / Answer
When we are calculating the probability of two independent events happening together, (i.e. the probability of A and B),
If you have “or” in the wording, add the probabilities.
If you have “and” in the wording, multiply the probabilities.
So, here we mutiply probabilities. (read the first line in the question)
Since neither is 1, the probabilites will mutiply to give a number smaller than either of the probabilities of event A or event B.
Answer is 1) Hence, The probability of both events happening together (A and B) is less than each individual probability
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