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 both cards will be an ace?

A) 1/169
B) 2/13
C) 1/26
D) 1/13

Answer 1

there are 4 aces in a deck of 52 cards. the odds of drawing one is 1/13. the probability of doing it again is still 1/13. the odds of doing it twice, as described, is then 1/13 * 1/13, or (1/13)², or 1/169 option A

Answer 2

option A

Explanation:

A card is Chosen at random from a deck of 52 cards

there are 4 aces in the deck of 52 cards

Probability of picking a ace = total ace cards divide by total number of cards

`P(first ace)=(4)/(52) =(1)/(13)`

it is replaced and a second card is chosen

So total cards = 52 and ace =4

`P(second ace)=(4)/(52) =(1)/(13)`

P(both are ace)=
`P(first ace) \cdot P(second ace)`

=
`(1)/(13)  \cdot (1)/(13) =(1)/(169)`

option A