There are 8 cards in a bag, labeled 1 through 8. You draw an even number. Without returning the card, you draw a 5. What is the probability that you draw an even number then a 5?

Step-by-step explanation:

Total number of cards in the bag = 8

The cards are numbered as {1 , 2 , 3  , 4  , 5  , 6 ,  7,  8}

Now, the total even number in the card = { 2, 4 , 6 and 8}

So, P(Drawing an ever card)  =

Now, the drawn card is not replaced.

So, the total cards left in the bag  = 8 - 1  = 7

The probability of drawing a card with number 5  =

⇒The combined probability  =

Hence, the probability that you draw an even number then a 5 is

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional