Question

2. A bag has 12 green marbles and 9 blue marbles.on b imobat delon crida naintes a) If one marble is randomly selected, find the probability that the marble is green. erug? TOE Tin to vilidados bibit vinobr n ovid 257 b) If two marbles are randomly selected without replacement, find the probability that both are blue. If two marbles are randomly selected with replacement, find the probability that one marble is blue and one marble is green.

Answer 1

Pogo No. Gix Een marbles = G12 Blue Maebles 339 SCUEcrce of geen mael - n=12+9 = 21 C PCA) = A - C 0.511428. n21 Tel Abe the even so the event of deawing a blue macble Fiesta then PCA)= 9121 Cee nolepiacing back Now Since we Cee nolepiac Thus No. of marble in bag " totul neo of maεble is 20. I cet B be the event of deawing blue mueble. then PCBA)- 8/20 of both blup maεbio. Thus the peobabiliky = P(A&B) = P(A)*P(BIA) - 9/9 x 8720 = 0.171421

Page No. Date ole is blue & bo mobles_ E__ soudonutselected Eeplicement find the peob.thectone MEDIO 15 blu one mache is green Solution Hece nos = 12 +9 = 21 Icet A be the event of drawing n muebie, blue is one then PCA 9 OPLE every pich As we have replaced back aftee ever- so the events are completely independent Ilet B be the event of drawing an one maEble is geeen. Then PCB30= 12 21 thus the peob. of getting an one blue & one gee with replacement PCA&B = PCA) * P (B) 9 x 012_04285 x 0.57142 = 0.244897