Three groups of children contain 3 girls and one boy; 2 girls and 2 boys, one girl and 3 boys. One child is selected at random from each group. What is the probability that the three selected consists of 1 girl and 2 boys?

• The probability of selecting of 1 boy from the first group is 1/4, 1 girl 3/4
  The probability of selecting of 1 boy from the second group is 1/2, 1 girl 1/2
  The probability of selecting of 1 boy from the third group is 3/4, 1 girl 1/4.
  The probability of selecting of 1 girl and 2 boys is
  P(girl from I group) AND P(boy from II group) AND P(boy from III group) OR
  P(boy from I group) AND P(girl from II group) AND P(boy from III group) OR
  P(boy from I group) AND P(boy from II group) AND P(girl from III group)
  In Math it equals to (AND = "*", OR = "+"):
  3/4*1/2*3/4 + 1/4*1/2*3/4 + 1/4*1/2*1/4 = 9/32 + 3/32 + 1/32 = 13/32
• 10 years agoHelpfull: Yes(19) No(1)
• Another way of solving it:
  Total ways of selecting 3 children from 3 groups of 4 children each = 4*4*4 = 64
  Favorable outcomes are if we select: GBB,BBG,BGB
  For selecting GBB, no of ways = 3*2*3 = 18
  For selecting BBG, no of ways = 1*2*1 = 2
  For selecting BGB, no of ways = 1*2*3 = 6
  So, total favorable outcomes = 18+2+6 = 26
  Thus, required probability = 26/64 = 13/32
  
• 10 years agoHelpfull: Yes(15) No(1)
• @munish ..can u plz tel hw did u get gbb=3*2*3
• 10 years agoHelpfull: Yes(1) No(0)
• @Sujana
  For selecting GBB, no of ways = 3*2*3 = 18, because:
  1 girl can be selected from first group from 3 different girls in 3 ways.
  1 boy can be selected from second group from 2 different boys in 2 ways.
  1 boy can be selected from third group from 3 different boys in 3 ways.
  
• 10 years agoHelpfull: Yes(1) No(1)
• The combination of 2 boy and 1 girl are
  BBG ,GBB, BGB
  
  so (1/4)*(2/4)*(1/4)+(3/4)*(2/4)*(3/4)+(1/4)*(2/4)*(3/4)= 26/64= 13/32 Ans
• 10 years agoHelpfull: Yes(1) No(0)
• 7/4.totally 6 girls frm that one can be selected and totallly six boys from that 2 boys can be selected..so favourable outcome is 21 and total outcomes 12
  
• 10 years agoHelpfull: Yes(0) No(3)
• 26
  there are 3 ways
  hence 26
• 10 years agoHelpfull: Yes(0) No(5)