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

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step-by-step explanation: