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