Two cards are chosen from a standard deck of 52 playing cards without replacement. what is the probability that the first card is an ace and the second is a king? a. 1/169 b.1/221 c.4/663 d.103/663

For the first draw, the probability of an ace is ( 4 / 52 ).

Now there are only 51 cards left in the deck.

For the second draw, the probability of a king is  ( 4 / 51 ).

The probability of both events is

(4/52) (4/41) = (16/2,652)

Divide top and bottom by 4:

(16/2,652) = 4/663 .  That's choice-C .

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.