Question

Only Question 2 (a, b, c) , but Question 1 is more background information.

An experiment focuses on the differences among apple species. Species A was randomly selected out of 4 species in the experiment

1. What if you want to choose Spcies A. ali or Species A. pub. What is the probability that you choose one or the other?

a. P(A. ali or A. pub) =

b. This can be done by adding probabilities. Write an equation if possible.

c. Will these 2 events be mutually exclusive?

2. For the experiment of the 4 apple species, ¼ of the seeds were bought randomly from a friend and then the rest of the seeds were randomly bought from a neighbor.

a.What is the probability that the one you select is either species A. ali or from a neighbor?

b. will the two events be mutually exclusive?

c. What will the general equation be?

Answer 1

1. a .

required probability=2/4=1/2

explanation: for sample space, we can choose any one of the 4 species, that can be done in = 4 ways. for favourable cases,we want to choose any one of the two species(i.e. A. ali or A. pub) and that can be done in = 2 ways.

1. b.

previous one can be done by adding probavprobies.

required probability= P(A. ali)+P(A. pub)=(1/4)+(1/4)=1/2

explanation: we can choose any one of the species out of the 4 species with probability 1/4.

1. c. yes,these two events are mutymutu exclusive.

because P(A. ali or A. pub)= P(A. ali)+ P(A. pub)

2. consider two events,

R- selected species is A. ali

Q- selected species is one of the seeds brought from neighbour.

a. P(RQ)= P(R)+P(Q)-P(RQ)

where P(Q)=1-(1/4)= 3/4; P(R)=1/4

b. these two events ate not mutually independent, because the seeds which were bought from neighbour may include the species A. ali

c. equation is given in 2. a.