Which of the following equalities is not necessarily true if are events?
Suppose you flip a fair coin 10 times. What is the probability of the last two flips both being heads if you know that the first eight flips were heads?
which of the following must be true of and if
Suppose there are two types of surgeries that doctors perform. Doctor A has a higher success rate than Doctor B on the first type of surgery. Doctor A also has a higher success rate than Doctor B on the second type of surgery. Is it true that Doctor A necessarily has a higher overall success rate than Doctor B?
Assume that a child has an equal chance of being born on any month and of either gender (male, female). Let be the probability that given that a family has two children and at least one of them is a girl, both are girls. Furthermore, let be the probability that given that a family has two children and at least one of them is a girl born in April, that both are girls. Does ?