Question

While shuffling a pack of $52$ playing cards, $2$ are accidentally dropped. Find the probability that the missing cards to be of different colours.

Answer 1

Generally there are two colors in a deck of cards.Red or black.

∴∴ Probability of dropping a red card first=26/522652

Probability of dropping a red card in 2nd2nd chance=26/512651

∴∴ Dropping either colour in 2! ways.

∴∴ Required probability =26/52*26/512652×2651×2!×2!

⇒26/51