Final answer:
Probability questions often involve understanding the chances of independent or mutually exclusive events occurring. Key concepts include expressing probabilities as fractions, decimals, or percentages and knowing how to calculate combined probabilities for multiple, independent events.
This correct answer is d)
Step-by-step explanation:
The probability of a certain event is a measure of the likelihood that the event will occur. It is expressed as a number between 0 and 1, with 0 indicating impossibility, and 1 indicating certainty. Probabilities can also be expressed as percentages, fractions, or decimals.
Example Questions and Solutions:
For a couple with three daughters, the probability that the next child will be a daughter is independent of previous births, assuming equal chances for both genders. So, the probability remains at 1/2 or 50%.
The probability that a randomly chosen student lives within five miles of the campus or receives financial aid would require additional information to calculate precisely. If these two conditions are independent, it involves summing the individual probabilities and subtracting the probability that both conditions occur.
If events H and D are mutually exclusive, which means they cannot occur at the same time, then P(HD) is 0.
The probability of waiting more than seven minutes given a person has waited more than four minutes would depend on additional statistical data regarding wait times. This correct answer is d)
The complete question is: The probability that the student's major is Humanities is:
a) 5/16
b) 1/3
c) 1/4
d) 1/2