First slide

Introduction to probability

Question

Ten pairs of shoes are in a closet. Four shoes are selected at random. The probability that there will be at least one pair among the four shoes selected is _______

Moderate

A

0.3065
B

0.1065
C

0.5132
D

0.0365

Solution

$P (Req) = 1 - P (no pair selected) = 1 - (\frac{20}{20} \cdot \frac{18}{19} \cdot \frac{16}{18} \times \frac{14}{17}) = 1 - \frac{224}{323} = \frac{99}{323} = 0.3065$

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