A drawer contains black socks and white socks. A person randomly selects two socks without replacement. The probability of selecting two black socks is 120703 and the probability of selecting a black sock on the first draw is 819. What is the probability of selecting a black sock on the second draw given that a black sock was selected on the first draw

0.4054 = 40.54% probability of selecting a black sock on the second draw given that a black sock was selected on the first draw

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Black sock on the first draw.

Event B: Black sock on the second draw.

The probability of selecting a black sock on the first draw is 8/19.

This means that

Black socks on both draws:

The probability of selecting two black socks is 120/703

This means that

What is the probability of selecting a black sock on the second draw given that a black sock was selected on the first draw?

0.4054 = 40.54% probability of selecting a black sock on the second draw given that a black sock was selected on the first draw

step-by-step explanation:

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,