Approximately one-third of all human twins are identical (one-egg) and two thirds are fraternal (two-egg) twins. Identical twins are necessarily the same sex, with female and male being equally likely. Among fraternal twins, approximately one-fourth are both female, one-fourth are both male, and half are one female and one male. Finally, among all births in the United States, approximately 15 in 1000 are twin births.
Approximately one-third of all human twins are identical (one-egg) and two thirds are fraternal (two-egg) twins. Identical twins are necessarily the same sex, with female and male being equally likely. Among fraternal twins, approximately one-fourth are both female, one-fourth are both male, and half are one female and one male. Finally, among all births in the United States, approximately 15 in 1000 are twin births.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Approximately one-third of all human twins are identical (one-egg) and two thirds are fraternal (two-egg) twins. Identical twins are necessarily the same sex, with female and male being equally likely. Among fraternal twins, approximately one-fourth are both female, one-fourth are both male, and half are one female and one male. Finally, among all births in the United States, approximately 15 in 1000 are twin births.
A = {a U.S. birth results in twin females}
B = {a U.S. birth results in identical twins}
C = {a U.S. birth results in twins}
- Is P(A∩B∩C) equal to P(A)P(B)P(C)?
- Find P(A ∩ B) and P(A∩C).
- Compare P(A ∩ C) with P(A)P(C)
- Which
event is pairwise independent?
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