Ask your own question, for FREE!
Mathematics 9 Online
OpenStudy (anonymous):

By finding a gold nugget,a prospector is said to"strike it rich." If, on any given day, a prospector has probability 1/8 of striking it rich, what is the probability that at least one of the prospectors Al and Barb strike it rich on a day they both mine for gold?

OpenStudy (anonymous):

if Al has a probability of 1/8 and so does Barb remember that P(A or B)=P(A)+P(B)−P(A and B)

OpenStudy (anonymous):

@binarymimic ok soo.. what then lol

OpenStudy (anonymous):

so.. the probability is .125? :P

OpenStudy (anonymous):

What did you use for P(A), P(B), and P(A and B) ?

OpenStudy (anonymous):

i plugged in 1/8 :)

OpenStudy (anonymous):

P(A) is 1/8 P(B) is 1/8 but what did you get for P(A and B) ?

OpenStudy (anonymous):

oh 2/8 lol

OpenStudy (anonymous):

oh no we cant do that :)

OpenStudy (anonymous):

otherwise we would get 1/8 + 1/8 - 2/8, and that = 0

OpenStudy (anonymous):

P(A and B) means the probability of both happening at the same time. we would actually multiply 1/8 * 1/8 to get P(A and B)

OpenStudy (anonymous):

.015625 +.25= .265625

OpenStudy (anonymous):

so that's the answer? =.=

OpenStudy (anonymous):

yup .. isn't as pretty as your first answer but .. it is what it is

OpenStudy (anonymous):

wait

OpenStudy (anonymous):

you didn't subtract

OpenStudy (anonymous):

thank you kind sir ^^

OpenStudy (anonymous):

it should be P(A) + P(B) - P(A and B) 1/8 + 1/8 - 1/64

OpenStudy (anonymous):

.25-.015625=.234375 ok gotcha ;)

OpenStudy (anonymous):

you got it :) bye for now

OpenStudy (anonymous):

:)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!