Whether true or false, prove why

- True or false. If
*E*and*F*are mutually exclusive, and*E*and*G*are mutually exclusive, then*F*and*G*are mutually exclusive. - True or false. Suppose it is determined that the probability of obtaining heads in a coin- tossing experiment using a biased coin is 0.51, then the probability of obtaining tails in a toss of the coin is 0.49.
- True or false. Suppose
*S*= {*s*_{1},*s*_{2}, …,*s*_{n}} is a finite sample space with*n*outcomes. Then 0 <*P*(*s*_{1}) +*P*(*s*_{2}) + … +*P*(*s*_{n}) < 1. - True or false.
*P*(*E*) +*P*(*E*) = 1.^{c} - True or false.
*P*(*E*∪^{c}*F*) = 1 -^{c}*P*(*E**∩**F*) - True or false. If
*A*and*B*are events in an experiment and*P*(*B*)*≠*0, then . - True or false.

Subject | Mathematics |

Due By (Pacific Time) | 10/19/2012 12:00 pm |

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