Question

Five cards are drawn at random from a well shuffled pack of 52 cards. The probability that out of these 5 there will be just one ace is

• A. $\frac{{}^{48}{c}_5}{{}^{52}{c}_5}$
• B. $\frac{{}^4{c}_1}{{}^{52}{c}_5}$
• C. $\frac{{}^4{c}_1\times {}^{48}{c}_4}{{}^{52}{c}_5}$
• D. $\frac{{}^{48}{c}_4}{{}^{52}{c}_5}$

Answer 1

Answer: (C)

$P(E) = \frac{^4c_1 \times {^{48}c_4}{^{52}c_5}$