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Question

Statistics for Economics Question on Probability theory

From a set comprising of 10 students, four girls 𝐺𝑖 , 𝑖 = 1, … , 4, and six boys 𝐡𝑗 , 𝑗 = 1, … , 6, a team of five students is to be formed. The probability that a randomly selected team comprises of 2 girls and 3 boys, with at least one of them to be 𝐡1 or 𝐡2 , is equal to

A

37\frac{3}{7}

B

67\frac{6}{7}

C

821\frac{8}{21}

D

521\frac{5}{21}

Answer

821\frac{8}{21}

Explanation

Solution

The correct option is (C): 821\frac{8}{21}