A meeting of consuls was attended by 4 Americans and 2 Germans. If three consuls were selected at random, construct the probability distribution at the random variable G representing the number of Germans. Construct the probability histogram.
Americans A = 4
Germans G = 2
Total = 6
3 out of 6 can be selected in ⁶C₃ = 20 Ways
Germans can be 0 , 1 or 2
three consuls were selected
G = 0 => ⁴C₃ x ²G₀ = 4 Ways
G = 1 => ⁴C₂ x ²G₁ = 12 Ways
G = 2 => ⁴C₁ x ²G₂ = 4 Ways
G P (G) G. P(G)
0 4/20 =0.2 0
1 12/20 =0.6 0.6
2 4/20 =0.2 0.4
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