Match the following

-EF

-expectedvalue

-P(E | F)

-P(E') orP(Ec)

-n(E)

-EF= (emptyset)

-AdditionRule

-P(x)=(Cn,x)(px)(qnx)

-independent events

-EF

-P(E)

-n(S)

1.sample space:the number of allpossibleoutcomes

2. The number of alldesiredoutcomes orevents; always a subset of the sample space

3 probabilitythat a desired outcome (event) will occur; it's expressed as a value that is never less than 0 but never more than 1

4 complementary probability:the probability that an outcomeother thanthe desired outcome occurs

5 unionof eventsEandF:the set of outcomes that are inEORFor both

6.intersectionof eventsEandF:the set of outcomes that are inEANDF

7.set operation indicating eventsEandFaremutually exclusiveevents

8.P(EUF) =P(E) + P(F) - P(E F)

9.conditional probabilitythat eventEoccursgiven thateventFoccurs; equivalent to P(EF) P(F)

10. Relation of eventsEandFif (and only if)P(FIE) =P(F)ORP(EIF) =P(E)

11.binomial probability theoremfor determining probability ofxnumber of successes innnumber of independent Bernoulli trials given probability of successpand probability of "failure"q= (1 -p)

12.the sum of the products of each outcome with its corresponding probability of occurring; written mathematically asx₁p₁+x₂p₂+ . . . +x_np_nor (x_ip_i)