Answer:
0.1454545455
Step-by-step explanation:
We solve using the combination formula
C(n, r) = nCr
= n!/r!(n - r)!
Hence, the probability that all nationalities are represented, is choosing 1 of each nationality.
Hence, we have:
3 Chinese, 3 Brazilians, 4 Columbians, 2 Ghanaians.
Total number of people = 3 + 3 + 4 + 2 = 12
= 3C1 × 3C1 × 4C1 × 2C1 /12C4
= 3 × 3 × 4 × 2/495
= 72/495
= 0.1454545455
The probability that all nationalities are represented is 0.1454545455
