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 odd number and the second card is greater than 8? Write your answer as a fraction in simplest form.

Question

directrix · Answer

@leya454
There are 10 cards. Five of them have odd numbers on them.
 Five of them have even numbers on them.

The probability of getting an odd numbered card is 5/10.

Of the 10 cards, there are two cards numbered greater than 8.

The probability of getting a card numbered greater than 8 is 2/10.

Putting these together,

the probability that the first card is an odd number and the second card is greater than 8 is (5/10) * (2/10) = ?

Be sure to simplify the product so that it is a fraction in lowest terms.