Lin rolls a six-sided number cube then chooses one card from a deck of three cards numbered 1 through 3. What is the probability that the number cube and the card have the same number?
There are 6 possible outcomes when rolling the number cube (1, 2, 3, 4, 5, 6) and 3 possible outcomes when choosing a card (1, 2, 3).
To find the probability that the number cube and the card have the same number, we need to find the number of favorable outcomes divided by the total number of outcomes.
The number cube and the card will have the same number in 1 of the following 18 combinations: (1,1), (2,2), (3,3), (4,4), (5,5), or (6,6).
So, the probability is 6/18, which simplifies to 1/3 or approximately 0.3333.
Therefore, the probability that the number cube and the card have the same number is 1/3.