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Sampling students A statistics class with 30 students has 10 males and 20 females. Suppose you choose 3 of the students in the class at random. Find the probability that all three are female.

Short Answer

Expert verified

The required probability is0.281.

Step by step solution

01

Step 1:Given information

Number of males=10

Number of females=20

Number of students being selected =3

02

Step 2:Calculation

The probability that all three females are selected can be calculated as:

P(Three females are selected )=C320C330

=20!(20-3)!×3!30!(30-3)!×3!

=11404060

=0.281

The required probability is0.281.

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