Three cards are drawn simultaneously from a well shuffled pack of cards. Find the probability of all the three being Honor cards.
Answer & explanation
Correct answer: option 3
Honours card – Ace, King, Queen and jack.
Spots card – Numbered card {2 to10}
Total honor cards = 16
Number of ways of drawing 3 honor cards = 16C3.
Reqd. probability = \(\frac{^{16} \mathrm{ C }_3}{^{52} \mathrm{ C }_3}\)
= \(\frac{28}{1105}\)
Hence, option C is correct.