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) = [tex]\frac{\textrm{The total even cards}}{\textrm{Total cards in the bag}} = \frac{4}{8} = \frac{1}{2}[/tex]
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 = [tex]\frac{\textrm{Total cards with number 5}}{\textrm{Total cards left in the bag}} = \frac{1}{7}[/tex]
⇒The combined probability = [tex]\frac{1}{2} \times \frac{1}{7} = (\frac{1}{14})[/tex]
Hence, the probability that you draw an even number then a 5 is [tex](\frac{1}{14} )[/tex]