Question Number 179906 by Acem last updated on 04/Nov/22

2 boxes, 1st contains 4 white & 6 black balls   2nd box contains 8 white & 8 black balls   We randomly draw a ball, got a black one   What′s probability that it was drawn from Box_2 ?

Answered by som(math1967) last updated on 04/Nov/22

P(Box_1 )=P(Box_2 )=(1/2)  Probability drawn from Box_2    =(((1/2)×(8/(16)))/((1/2)×(6/(10))+(1/2)×(8/(16))))=((8/(16))/((48+40)/(80)))  =(8/(16))×((80)/(88))=(5/(11))

Commented byAcem last updated on 04/Nov/22

Correct answer, thanks!

Answered by Acem last updated on 04/Nov/22

Commented byAcem last updated on 04/Nov/22

Summarize the solution by tree form