SOLUTION: In any classroom, there is a 92% chance that a randomly selected student will ask to go to the bathroom or go to the nurse. If the probability that he or she will ask to go to the

Question 31206: In any classroom, there is a 92% chance that a randomly selected student will ask to go to the bathroom or go to the nurse. If the probability that he or she will ask to go to the bathroom is 80%, what is the probability that he or she will ask to go to the nurse? Assume independence.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
IF THE EVENTS ARE INDEPENDENT THEN
P(A) U P(B)=P(A)+P(B)
WE HAVE
In any classroom, there is a 92% chance that a randomly selected student will ask to go to the bathroom or go to the nurse
FROM WHAT IS DESIGNATED BELOW THIS MEANS P(A) U P(B)=92%=0.92
. If the probability that he or she will ask to go to the bathroom
CALL IT EVENT A
is 80%,
P(A)=80/100=0.8
what is the probability that he or she will ask to go to the nurse?
CALL THIS EVENT B AND P(B)=?
Assume independence.
SO
0.92=0.8+P(B)
P(B)=0.12=12%
RELATED QUESTIONS
Hello! I am stuck on this question. I'm not sure if I should the percentages to decimals, (answered by math_helper)

Suppose that 62 percent of the graduates from your high school go on to a four year... (answered by ikleyn)

There are 25 students in a class, 15 male and 10 female. The teacher randomly selects... (answered by John10)

There are 24 students in a classroom. One student will be randomly selected. If there are (answered by macston)

Greetings.How can I go about to answer this kind of question? Oasis is an asset... (answered by greenestamps)

A basketball team is down by 2 points with only a few seconds remaining in the game.... (answered by Boreal)

There are 15 girls and 10 boys in a class. The teacher randomly selects one student to go (answered by checkley75)

Five reviewees A, B, C, D, and E went to go to a concert, but they only have three... (answered by jim_thompson5910)

the probability that an executive is promoted to a higher position is 5/8. in case he is... (answered by mathmate)