Artie has a book of short stories. the number of each type of short story is shown below. • 6 science-fiction stories • 4 adventure stories • 3 historical stories • 2 sports stories he selects one short story at random. what is the probability that the story artie selects is either a science-fiction story or an adventure story? a.) 1/2 b.) 2/1 c.) 1/3 d.) 2/3

we are given

• 6 science-fiction stories

• 4 adventure stories

• 3 historical stories

• 2 sports stories

so,

total number of stories =6+4+3+2

total number of stories =15

Probability of selecting science stories:

number of science stories =6

total number of stories =15

P(S)=(number of science stories)/(total number of stories)

Probability of selecting adventure stories:

number of adventure stories =4

total number of stories =15

P(A)=(number of adventure stories)/(total number of stories)

now, we can find

the probability that the story Artie selects is either a science-fiction story or an adventure story

that is P(AUS)

p(AUS)=p(A)+p(S)-p(A∩S)

we know that

p(A) and p(S) are independent

so,

p(A∩S)=p(A)*p(S)

we can plug it

p(AUS)=p(A)+p(S)-p(A)*p(S)

we get

p(AUS)=

p(AUS)=...........Answer

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer

560

hope this : )