1:A bag has 5 red,4green, and6orange balls. If a ball is randomly selected from thebag, what is the theoretical probability that it is the color specified in parts(a) through(d).

a) green

b) not green

c) orange

d) not orange

a)P(green)=____(Type integer or a simplifiedfraction.)

b)P(not green)=____ (Type integer or a simplifiedfraction.)

c)P(orange)=____(Type integer or a simplifiedfraction.)

d)P(not orange)=____ (Type integer or a simplifiedfraction.)

2: If the odds in favor of Chris winning the election are 8:7, then what is the probability that

a) Chris wins.

b) Chris does not win.

What is the probability that Chris will win theelection?

P(wins)=____(Type simplifiedfraction.)

What is the probability that Chris will not win theelection?

P(doesn't win)=______(Type simplifiedfraction.)

3: An eight-sided die is tossed. Determine the odds against rolling a 3.

The odds are ___:____(Simplify youranswer.)

4: A person randomly selects one of four envelopes. Each envelope contains a check that the person gets to keep.However, before the person can select anenvelope, he or she must pay$15 to play. Determine theperson's expectation if the checks in the envelopes are for$0, $1, $8, and $15.

The expected value is $_____ (Simplify your answer. Type integer or adecimal.)

5: A coffee franchise is opening a new store. The company estimates that there is a 75% chance the store will have a profit of $45,000, a 5% chance the store will breakeven, and a 20% chance the store will lose $4,000. Determine the expected gain or loss for this store.

The expected value is $____ (Round to the nearest cent asneeded.)