from the number of cards number from 7 to 27 a card is drawn at random. find probability of getting card a prime or even number.

16/21

Step-by-step explanation:

1) first determine the sample you are studying

27,26,25,24,23,22,21,20,19,18,17,16,15, 14,13,12,11,10,9,8,7

We have 21 different cards

Let S be the total number of cards

● S = 21

Let's determine wich are containing a prime number

● 7 is a prime number

● 8,9,10 are not

● 11 is a prime number

● 12 is not

● 13 is a prime number

● 14,15,16 are not

● 17 is

● 18 is not

● 19 is

● 21,22 are not

● 23 is

● 24,25,26,27 are not

So the cards with a prime number are

7, 11, 13, 17, 19 and 23

Wich means 6 cards

Now let's determine the cards with an even number

● 8,10,12,14,16,18,20,22,24 and 26

Wich means 10 cards

Now let's see the total number of cards that represent the event T ( having a prime or an even card)

We have 6 prime cards and 10 even ones

● T = 6 + 10 = 16

2) calculating the probability

● P(T) = T/S = 16/21

So the probability of picking a prime or an even card is 16/21

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.