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

im trinna find out'

step-by-step explanation:

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.