Question

10 cards are numbered from 1 to 10 draws out a card replaces it and then draws another card what is the probability that both cards will be numbers greater that 5?

Answer 1

1/4

Explanation:

So there are 10 total cards, and there are 5 cards that have numbers greater than 5.

The chances of getting a card greater than 5 is 5/10 = 1/2

Since the card is being replaced, the chances of it happening the second time are the same.

To get the probability of both events happening, multiply the two probabilities. 1/2 * 1/2 = 1/4

So there is a 1/4 chance that both cards are over 5.