One card is selected from a deck of cards. determine the probability that the card selected is a card greater than 2 and less than 10

7 out of 13

Step-by-step explanation:

 13 cards in a suit  52 cards in a deck

7 cards between 2 and 10 per suit  or 28 cards per deck

probability that the card selected is a card greater than 2 and less than 10 is 7 out of 13

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.