Question

Consider a situation in which p(x) = and p(y) = . if p(x and y) is = , which best describes the events?

1. quangkhai
Step-by-step explanation:
just took the test

2. thachthao
The correct option is (A) P(X) × P(Y) = P(X ∩ Y)
What is probability and example?
• Probability = the number of ways of achieving success. the total number of possible outcomes.
• For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .
We are given to consider a situation in which X and Y are two events such that
P(X) = 4/5, P(Y) = 1/4, P(X ∩ Y) = 1/5
We are to select the statement that best describes the events X and Y
We know that
any two events A and B are said to be independent if
P(A) × P(B) = P (A ∩ B)
We have, for events X and Y,
P(X) × P(Y) = 4/5 × 1/4 = 1/5 = P (X ∩ Y)
P(X) × P(Y) = P(X ∩ Y)
Thus, X and Y are independent because P(X) × P(Y) = P(X ∩ Y)