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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?

2 Answers

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

P(king and ace) = 8C2/52C2 - 2(1/13)^2 = 0.0152
User Tadatuta
by
8.2k points
4 votes

Answer:


(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)

User Theglauber
by
8.5k points

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