There is a stack of 10 cards, each given a different number from 1 to 10. Suppose we select a card randomly from the stack, replace it, and then randomly select another card. What is the probability that the first card is an even number and the card is greater than 7? Write your answer as a fraction in simplest form.

3/20

Step-by-step explanation:

There are 5 even numbers and 3 numbers greater than 7.

The probability of selecting an even number is 5/10 = 1/2

Since the card is replaced, the probability of a number greater than 7 is 3/10

So the probability of selecting an even card, then a card greater than 7 with replacement is 1/2 x 3/10 = 3/20

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