SOLUTION: A couple has four children. Let E be the event that the couple has at least two sons, and F the event that the couple has exactly two daughters. Find the intersection and union of

Algebra ->  Probability-and-statistics -> SOLUTION: A couple has four children. Let E be the event that the couple has at least two sons, and F the event that the couple has exactly two daughters. Find the intersection and union of       Log On


   

Question 1108679: A couple has four children. Let E be the event that the couple has at least two sons, and F the event that the couple has exactly two daughters. Find the intersection and union of two events
Answer by math_helper(2461) About Me  (Show Source):
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Here are all the possible outcomes for having 4 children, sons(S) and daughters(D):
SSSS+       DSSS+
SSSD+       DSSD*+           
SSDS+       DSDS*+
SSDD*+      DSDD
SDSS+       DDSS*+
SDSD*+      DDSD
SDDS*+      DDDS
SDDD        DDDD

The starred * items show which entries have exactly two daughters
The entries with + indicate cases where they have two or more sons
Hence the intersection is the 6 entries with *+