Question

Using a deck of standard cards, we pick two cards randomly, without replacement.What is the probability we end up with a ten and an ace?16/2652None of the other answers is correct32/2658/5202/52

Answer 1

There are 52 cards in a standard deck, from which there are 4 aces and 4 tens.

The probability of picking a ten or an ace in the first turn, is:

`(8)/(52)`

Either if a ten or an ace is taken out of the deck, there is a probability of 4/51 of picking the missing card. Then, the probability of picking a ten and an ace is:

`(8)/(52)*(4)/(51)=(32)/(2652)=(8)/(663)`