URGENT PLEASE HELP Students in Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.42. They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9.
What is the probability that Mrs. Barnes does not check homework if the students take a pop quiz?
The probabilities are displayed in the tree diagram.

A) 0.25

B) 0.33

C) 0.67

D) 0.77

The probability that Mrs. Barnes does not check homework if the students take a pop quiz will be 0.77. Then the correct option is D.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.42.

They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9.

Then the probability that Mrs. Barnes does not check homework if the students take a pop quiz will be

[tex]\rm P = 0.42 \times 0.60 + 0.58\times 0.90\\\\P = 0.252 + 0.522\\\\P = 0.774 \approx 0.77[/tex]

More about the probability link is given below.

https://brainly.com/question/795909