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# A box contain 2 red , 1 blue and 2 green identical balls. Three balls are drawn at random in succession without replacement. Write the sample space.

SME in Mathematics & Statistics

The sample space is {RRB, RBR, BRR, GGB, GBG, BBG, RRG, RGR, GRR, GGR, GRG, RGG, RBG, RGB, BRG, BGR, GRB, GBR} Here R = Red ball, G = Green ball, B = Blue ball

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R: Red B:Blue G: Green Sample Space = { RRB , RBR , BRR, GGB , GBG , BBG , RRG , RGR , GRR , GGR , GRG, RGG , RBG , RGB , BRG , BGR , GRB , GBR }

Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

Write the sample space Chandana and not the number of sample space..

Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

WRITE THE SAMPLE SPACE Mam Moushumi.. your concept and answer totally wrong.

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(RRB, RRG, BGG, GGR, GBR)

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S = {RRB, RRG, RBR, RBG, RGR, RGB, RGG, GGB, GGR, GBG, GBR, GRG, GRB, GRR, BGG, BRR, BRG, BGR} Total choices = 5C3 = 10. Out of this red ball 1 and red ball two are indistinguishable. Similarly green ball 1 and green ball 2 are indistinguishable. So total of four possibilities are...
S = {RRB, RRG, RBR, RBG, RGR, RGB, RGG, GGB, GGR, GBG, GBR, GRG, GRB, GRR, BGG, BRR, BRG, BGR} Total choices = 5C3 = 10. Out of this red ball 1 and red ball two are indistinguishable. Similarly green ball 1 and green ball 2 are indistinguishable. So total of four possibilities are removed [2*2!]. We are left with 6 possibilities. As sequence is important...there are 3 places. 3*6= total 18 possibilities. read less

Teacher

For the First ball sample space is 5,for the second ball the sample space 4,for the third ball the sample space is 3.

Math analyst

Sample space is set of all possible outcomes. if R,G,B corresponds to red green blue balls sample space = { (R,R,B),(R,B,R),(B,R,R), (G,G,B),(G,B,G),(B,G,G), (R,R,G),(R,G,R),(G,R,R), (G,G,R),(G,R,G),(R,G,G), (R,G,B),(R,B,G),(G,B,R) }.

Tutor for cost accounting, financial management,financial accounting & other commerce subjects

Dear K Akshay R: Red B:Blue G: Green Sample Space = { RRB , RBR , BRR, GGB , GBG , BBG , RRG , RGR , GRR , GGR , GRG, RGG , RBG , RGB , BRG , BGR , GRB , GBR } Wishing you all the best. RAJESH M. ASHER

Mathematics Expert

Sample space is the all possible outcome!!!!

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