Ignoring twins and other multiple births, assume babies bornat a hospital are in
ID: 2916117 • Letter: I
Question
Ignoring twins and other multiple births, assume babies bornat a hospital are independent events with the probability that ababy is a boy and the probability that baby is a girl a)what is the probability that the next three babies are ofthe same sex? b)Define events A={the next two babies are boys} and B={atleast one of the next two babies is a boy} what do we know aboutevents A and B? 1)THey are disjoint 2)THey are complements 3)They are independent 4)Nne of the above c) Define event B={at least one of the next two babies is aboy}. what is the probability of the complement of event B Thanks! Ignoring twins and other multiple births, assume babies bornat a hospital are independent events with the probability that ababy is a boy and the probability that baby is a girl a)what is the probability that the next three babies are ofthe same sex? b)Define events A={the next two babies are boys} and B={atleast one of the next two babies is a boy} what do we know aboutevents A and B? 1)THey are disjoint 2)THey are complements 3)They are independent 4)Nne of the above c) Define event B={at least one of the next two babies is aboy}. what is the probability of the complement of event B Thanks!Explanation / Answer
a) 1/4. Whether the next baby is a boy or a girl, there is a1/2 chance the second baby's sex matches that, and 1/2 the thirdbaby's sex matches. Since these are indepenedent, this givesa 1/2 * 1/2 = 1/4 chance. b) 4 none of the above. Not disjoint since B is asubset of A, not complements or independent for the samereason. c) complement is none of the next two babies are boys, which hasprobability 1/4 that each of the next two are girls.