Question

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

3. 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

3.

a. Probability to choose Spcies A. ali or Species A. pub = P(A. ali or A. pub) = P(A. ali A. pub)

b. P(A. ali A. pub) = P(A. ali ) + P(​​​A. pub) ​- P(A. ali A. pub)

Since both species cannot be selected at once, P(A. ali ​​​​​​​ A. pub) = P(A. ali and​​​​​​​ A. pub) = 0

Thus, P(A. ali A. pub) = P(A. ali ) + P(​​​A. pub)

c.

Since, both species cannot be selected at once, P(A. ali ​​​​​​​ A. pub) = P(A. ali and​​​​​​​ A. pub) = 0 and these 2 events will be mutually exclusive