exercise:A04b2665f0: Difference between revisions
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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> A student is applying to Harvard and Dartmouth. He estimates that he has a probability of .5 of being accepted at Dartmouth and .3 of being accepted at Harvard. He further estimates the probability that he will be accepted by both is .2. What i...") |
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A student is applying to Harvard and Dartmouth. He estimates that he has a probability of .5 of being accepted at Dartmouth and .3 of being accepted at | |||
Harvard. He further estimates the probability that he will be accepted by both is .2. What is the probability that he is accepted by Dartmouth if he is | |||
accepted by Harvard? Is the event “accepted at Harvard” independent of the event “accepted at Dartmouth”? | |||
has a probability of .5 of being accepted at Dartmouth and .3 of being accepted at | |||
Harvard. He further estimates the probability that he will be accepted by both | |||
is .2. What is the probability that he is accepted by Dartmouth if he is | |||
accepted by Harvard? Is the event “accepted at Harvard” independent of the | |||
event “accepted at Dartmouth”? | |||
Latest revision as of 00:01, 13 June 2024
A student is applying to Harvard and Dartmouth. He estimates that he has a probability of .5 of being accepted at Dartmouth and .3 of being accepted at Harvard. He further estimates the probability that he will be accepted by both is .2. What is the probability that he is accepted by Dartmouth if he is accepted by Harvard? Is the event “accepted at Harvard” independent of the event “accepted at Dartmouth”?