Final answer:
In this Mathematics problem, we determine the probability of choosing a black or red card from a bag that contains numbered black and red cards.
Step-by-step explanation:
The subject of this question is Mathematics and it is suitable for Middle School level.
In this problem, we have a bag that contains eight black cards numbered 1 through 8 and six red cards numbered 1 through 6. To find the probability of choosing a card at random, we need to determine the total number of possible outcomes and the number of favourable outcomes.
Since the bag contains 14 cards in total (8 black and 6 red), the probability of choosing a black card is 8/14 = 4/7 and the probability of choosing a red card is 6/14 = 3/7.