five cards are labeled 0,2,4,6, and 8. two cards are picked without replacement. what is the probability that their product is 0?

1 answer

The only way to get a product of 0 is if one of the cards picked is 0.

Probability of picking a 0 on the first draw: 1/5
Probability of picking a 0 on the second draw after one card has already been picked: 1/4

Therefore, the probability of picking two cards with a product of 0 is:
(1/5) * (1/4) = 1/20

So, the probability is 1/20.