Question

a card is chosen at random from a deck of 52 cards. it is replaced and a second card is chosen. what is the probability of choosing a king and an ace?

Answer 1

P(2 aces) = (1/13)^2
P(2 kings) = (1/13)^2

P(king and ace) = 8C2/52C2 - 2(1/13)^2 = 0.0152

Answer 2

`(1)/(169)`

Explanation:

Total cards = 52

Total ace = 4

So probability of getting ace on first draw =
`(4)/(52)`

Now the card is replaced .

So, Total cards = 52

Total kings = 4

So probability of getting kings on second draw =
`(4)/(52)`

So, the probability of choosing a king and an ace:

=
`(4)/(52) * (4)/(52)`

=
`(1)/(169)`

Hence the probability of choosing a king and an ace is
`(1)/(169)`