How many ways are there to choose a card from a deck of cards (52 cards in a deck) and roll a regular 6-sided number cube?

There are 52 ways to choose a card and 6 ways to roll a die for a total of ##52xx6=312## ways

This is called the ... two independent events (choosing a card and rolling a die). The total number of outcomes will equal the the sample space for the first event times the sample space for the second event ...

deck of cards has a sample space of 52

6-sided die has a sample space of 6

Total number of outcomes ## = 52xx6=312##

hope that helped